7534797120 has 448 divisors, whose sum is σ = 28823351040. Its totient is φ = 1845559296.

The previous prime is 7534797089. The next prime is 7534797121. The reversal of 7534797120 is 217974357.

7534797120 is a `hidden beast` number, since 7 + 53 + 479 + 7 + 120 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7534797121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6315244 + ... + 6316436.

Almost surely, 2^7534797120 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 7534797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14411675520).

7534797120 is an abundant number, since it is smaller than the sum of its proper divisors (21288553920).

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

7534797120 is a wasteful number, since it uses less digits than its factorization.

7534797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 7534797120 is about 86803.2091572656. The cubic root of 7534797120 is about 1960.4563979511.

The spelling of 7534797120 in words is "seven billion, five hundred thirty-four million, seven hundred ninety-seven thousand, one hundred twenty".