37642879764 has 288 divisors, whose sum is σ = 117761817600. Its totient is φ = 10357320960.

The previous prime is 37642879763. The next prime is 37642879777. The reversal of 37642879764 is 46797824673.

It is a happy number.

37642879764 is a `hidden beast` number, since 3 + 76 + 428 + 79 + 76 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37642879763) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44129562 + ... + 44130414.

It is an arithmetic number, because the mean of its divisors is an integer number (408895200).

Almost surely, 2^37642879764 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 37642879764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58880908800).

37642879764 is an abundant number, since it is smaller than the sum of its proper divisors (80118937836).

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

37642879764 is a wasteful number, since it uses less digits than its factorization.

37642879764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1165 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 37642879764 in words is "thirty-seven billion, six hundred forty-two million, eight hundred seventy-nine thousand, seven hundred sixty-four".