37871688960 has 432 divisors, whose sum is σ = 152225673600. Its totient is φ = 8513372160.

The previous prime is 37871688949. The next prime is 37871689007. The reversal of 37871688960 is 6988617873.

37871688960 is a `hidden beast` number, since 378 + 71 + 68 + 89 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4915191 + ... + 4922889.

Almost surely, 2^37871688960 is an apocalyptic number.

37871688960 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 37871688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76112836800).

37871688960 is an abundant number, since it is smaller than the sum of its proper divisors (114353984640).

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

37871688960 is a wasteful number, since it uses less digits than its factorization.

37871688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7794 (or 7777 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 37871688960 in words is "thirty-seven billion, eight hundred seventy-one million, six hundred eighty-eight thousand, nine hundred sixty".