37739928864 has 96 divisors (see below), whose sum is σ = 108147142656. Its totient is φ = 11428542720.

The previous prime is 37739928839. The next prime is 37739928883. The reversal of 37739928864 is 46882993773.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 37739928795 and 37739928804.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1643349 + ... + 1666155.

It is an arithmetic number, because the mean of its divisors is an integer number (1126532736).

Almost surely, 2^37739928864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37739928864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54073571328).

37739928864 is an abundant number, since it is smaller than the sum of its proper divisors (70407213792).

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

37739928864 is a wasteful number, since it uses less digits than its factorization.

37739928864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24398 (or 24390 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 66.

The spelling of 37739928864 in words is "thirty-seven billion, seven hundred thirty-nine million, nine hundred twenty-eight thousand, eight hundred sixty-four".