7649853120 has 1008 divisors, whose sum is σ = 34742006208. Its totient is φ = 1504051200.

The previous prime is 7649853053. The next prime is 7649853121. The reversal of 7649853120 is 213589467.

7649853120 is a `hidden beast` number, since 7 + 6 + 4 + 98 + 531 + 20 = 666.

7649853120 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

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

7649853120 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (7649853121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75741070 + ... + 75741170.

It is an arithmetic number, because the mean of its divisors is an integer number (34466276).

It is a 1-persistent number, because it is pandigital, but 2⋅7649853120 = 15299706240 is not.

Almost surely, 2^7649853120 is an apocalyptic number.

7649853120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7649853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17371003104).

7649853120 is an abundant number, since it is smaller than the sum of its proper divisors (27092153088).

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

7649853120 is a wasteful number, since it uses less digits than its factorization.

7649853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 148 counting only the distinct ones).

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

The square root of 7649853120 is about 87463.4387615763. The cubic root of 7649853120 is about 1970.3847256376.

The spelling of 7649853120 in words is "seven billion, six hundred forty-nine million, eight hundred fifty-three thousand, one hundred twenty".