37991745792 has 1728 divisors, whose sum is σ = 168674150400. Its totient is φ = 8121876480.

The previous prime is 37991745767. The next prime is 37991745821. The reversal of 37991745792 is 29754719973.

37991745792 is a `hidden beast` number, since 3 + 7 + 9 + 91 + 7 + 457 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (30005640) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1999565559 + ... + 1999565577.

Almost surely, 2^37991745792 is an apocalyptic number.

37991745792 is a gapful number since it is divisible by the number (32) 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 37991745792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84337075200).

37991745792 is an abundant number, since it is smaller than the sum of its proper divisors (130682404608).

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

37991745792 is a wasteful number, since it uses less digits than its factorization.

37991745792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 72 counting only the distinct ones).

The product of its digits is 30005640, while the sum is 63.

The spelling of 37991745792 in words is "thirty-seven billion, nine hundred ninety-one million, seven hundred forty-five thousand, seven hundred ninety-two".