7929313920 has 576 divisors, whose sum is σ = 31151877120. Its totient is φ = 1855180800.

The previous prime is 7929313913. The next prime is 7929313943. The reversal of 7929313920 is 293139297.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 21605577 + ... + 21605943.

It is an arithmetic number, because the mean of its divisors is an integer number (54083120).

Almost surely, 2^7929313920 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 7929313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15575938560).

7929313920 is an abundant number, since it is smaller than the sum of its proper divisors (23222563200).

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

7929313920 is a wasteful number, since it uses less digits than its factorization.

7929313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 7929313920 is about 89046.6951660756. The cubic root of 7929313920 is about 1994.0920586318.

The spelling of 7929313920 in words is "seven billion, nine hundred twenty-nine million, three hundred thirteen thousand, nine hundred twenty".