7653489120 has 288 divisors, whose sum is σ = 27367048800. Its totient is φ = 2019686400.

The previous prime is 7653489119. The next prime is 7653489121. The reversal of 7653489120 is 219843567.

7653489120 is a `hidden beast` number, since 7 + 6 + 534 + 8 + 91 + 20 = 666.

7653489120 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7653489119) and next prime (7653489121).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

7653489120 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7653489121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3925906 + ... + 3927854.

It is an arithmetic number, because the mean of its divisors is an integer number (95024475).

It is a 2-persistent number, because it is pandigital, and so is 2⋅7653489120 = 15306978240, but 3⋅7653489120 = 22960467360 is not.

Almost surely, 2^7653489120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7653489120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13683524400).

7653489120 is an abundant number, since it is smaller than the sum of its proper divisors (19713559680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7653489120 is a wasteful number, since it uses less digits than its factorization.

7653489120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7653489120 is about 87484.2221203344. Note that the first 3 decimals coincide. The cubic root of 7653489120 is about 1970.6968529415.

The spelling of 7653489120 in words is "seven billion, six hundred fifty-three million, four hundred eighty-nine thousand, one hundred twenty".