37872684864 has 672 divisors, whose sum is σ = 139225080960. Its totient is φ = 10029809664.

The previous prime is 37872684853. The next prime is 37872684877. The reversal of 37872684864 is 46848627873.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a nude number because it is divisible by every one of its digits.

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, 119472034 + ... + 119472350.

It is an arithmetic number, because the mean of its divisors is an integer number (207180180).

Almost surely, 2^37872684864 is an apocalyptic number.

37872684864 is a gapful number since it is divisible by the number (34) 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 37872684864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69612540480).

37872684864 is an abundant number, since it is smaller than the sum of its proper divisors (101352396096).

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

37872684864 is a wasteful number, since it uses less digits than its factorization.

37872684864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 429 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 63.

The spelling of 37872684864 in words is "thirty-seven billion, eight hundred seventy-two million, six hundred eighty-four thousand, eight hundred sixty-four".