37997568000 has 1344 divisors, whose sum is σ = 170110586880. Its totient is φ = 7962624000.

The previous prime is 37997567999. The next prime is 37997568029. The reversal of 37997568000 is 86579973.

37997568000 is a `hidden beast` number, since 3 + 79 + 9 + 7 + 568 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1225727985 + ... + 1225728015.

Almost surely, 2^37997568000 is an apocalyptic number.

37997568000 is a gapful number since it is divisible by the number (30) 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 37997568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85055293440).

37997568000 is an abundant number, since it is smaller than the sum of its proper divisors (132113018880).

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

37997568000 is a wasteful number, since it uses less digits than its factorization.

37997568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 37997568000 in words is "thirty-seven billion, nine hundred ninety-seven million, five hundred sixty-eight thousand".