7992528000 has 256 divisors, whose sum is σ = 26636688000. Its totient is φ = 2119987200.

The previous prime is 7992527969. The next prime is 7992528023. The reversal of 7992528000 is 8252997.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12911691 + ... + 12912309.

Almost surely, 2^7992528000 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 7992528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13318344000).

7992528000 is an abundant number, since it is smaller than the sum of its proper divisors (18644160000).

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

7992528000 is a wasteful number, since it uses less digits than its factorization.

7992528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 7992528000 is about 89400.9395923779. The cubic root of 7992528000 is about 1999.3771393758.

The spelling of 7992528000 in words is "seven billion, nine hundred ninety-two million, five hundred twenty-eight thousand".