7928008704 has 832 divisors, whose sum is σ = 31453440000. Its totient is φ = 1950842880.

The previous prime is 7928008687. The next prime is 7928008717. The reversal of 7928008704 is 4078008297.

It is a self number, because there is not a number n which added to its sum of digits gives 7928008704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 417263607 + ... + 417263625.

Almost surely, 2^7928008704 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 7928008704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15726720000).

7928008704 is an abundant number, since it is smaller than the sum of its proper divisors (23525431296).

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

7928008704 is a wasteful number, since it uses less digits than its factorization.

7928008704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 7928008704 is about 89039.3660354789. The cubic root of 7928008704 is about 1993.9826391744.

The spelling of 7928008704 in words is "seven billion, nine hundred twenty-eight million, eight thousand, seven hundred four".