7892325504 has 512 divisors, whose sum is σ = 27897408000. Its totient is φ = 2149908480.

The previous prime is 7892325503. The next prime is 7892325521. The reversal of 7892325504 is 4055232987.

7892325504 is a `hidden beast` number, since 7 + 8 + 92 + 3 + 2 + 550 + 4 = 666.

It is a super-2 number, since 2×7892325504² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7892325504.

It is not an unprimeable number, because it can be changed into a prime (7892325503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72406602 + ... + 72406710.

It is an arithmetic number, because the mean of its divisors is an integer number (54487125).

Almost surely, 2^7892325504 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 7892325504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13948704000).

7892325504 is an abundant number, since it is smaller than the sum of its proper divisors (20005082496).

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

7892325504 is a wasteful number, since it uses less digits than its factorization.

7892325504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 7892325504 is about 88838.7612700672. The cubic root of 7892325504 is about 1990.9865653537.

The spelling of 7892325504 in words is "seven billion, eight hundred ninety-two million, three hundred twenty-five thousand, five hundred four".