37976408064 has 540 divisors, whose sum is σ = 133792020054. Its totient is φ = 10701766656.

The previous prime is 37976408033. The next prime is 37976408123. The reversal of 37976408064 is 46080467973.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 31473598464 + 6502809600 = 177408^2 + 80640^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 37976408064.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 520224732 + ... + 520224804.

Almost surely, 2^37976408064 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 37976408064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66896010027).

37976408064 is an abundant number, since it is smaller than the sum of its proper divisors (95815611990).

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

37976408064 is an frugal number, since it uses more digits than its factorization.

37976408064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

It can be divided in two parts, 37976 and 408064, that added together give a triangular number (446040 = T₉₄₄).

The spelling of 37976408064 in words is "thirty-seven billion, nine hundred seventy-six million, four hundred eight thousand, sixty-four".