37631106584064 has 960 divisors, whose sum is σ = 136040062878720. Its totient is φ = 9774120960000.

The previous prime is 37631106584053. The next prime is 37631106584213. The reversal of 37631106584064 is 46048560113673.

37631106584064 is a `hidden beast` number, since 3 + 7 + 63 + 110 + 65 + 8 + 406 + 4 = 666.

It is a super-2 number, since 2×37631106584064² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 37631106584064.

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, 1532760589 + ... + 1532785139.

It is an arithmetic number, because the mean of its divisors is an integer number (141708398832).

Almost surely, 2^{37631106584064} 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 37631106584064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68020031439360).

37631106584064 is an abundant number, since it is smaller than the sum of its proper divisors (98408956294656).

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

37631106584064 is a wasteful number, since it uses less digits than its factorization.

37631106584064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24703 (or 24684 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 37631106584064 in words is "thirty-seven trillion, six hundred thirty-one billion, one hundred six million, five hundred eighty-four thousand, sixty-four".