996167937600 has 840 divisors, whose sum is σ = 4123580288256. Its totient is φ = 233694720000.

The previous prime is 996167937571. The next prime is 996167937613. The reversal of 996167937600 is 6739761699.

996167937600 is a `hidden beast` number, since 9 + 9 + 6 + 16 + 7 + 9 + 3 + 7 + 600 = 666.

996167937600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44182330 + ... + 44204870.

Almost surely, 2^996167937600 is an apocalyptic number.

996167937600 is a gapful number since it is divisible by the number (90) 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 996167937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061790144128).

996167937600 is an abundant number, since it is smaller than the sum of its proper divisors (3127412350656).

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

996167937600 is a wasteful number, since it uses less digits than its factorization.

996167937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22617 (or 22593 counting only the distinct ones).

The product of its (nonzero) digits is 23147208, while the sum is 63.

The spelling of 996167937600 in words is "nine hundred ninety-six billion, one hundred sixty-seven million, nine hundred thirty-seven thousand, six hundred".