7936992000 has 864 divisors, whose sum is σ = 33957740544. Its totient is φ = 1741824000.

The previous prime is 7936991981. The next prime is 7936992029. The reversal of 7936992000 is 2996397.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62495937 + ... + 62496063.

Almost surely, 2^7936992000 is an apocalyptic number.

7936992000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7936992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16978870272).

7936992000 is an abundant number, since it is smaller than the sum of its proper divisors (26020748544).

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

7936992000 is a wasteful number, since it uses less digits than its factorization.

7936992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 175 counting only the distinct ones).

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

The square root of 7936992000 is about 89089.7973956614. The cubic root of 7936992000 is about 1994.7354879486.

The spelling of 7936992000 in words is "seven billion, nine hundred thirty-six million, nine hundred ninety-two thousand".