37975080960 has 600 divisors, whose sum is σ = 139878390960. Its totient is φ = 9852420096.

The previous prime is 37975080959. The next prime is 37975081031. The reversal of 37975080960 is 6908057973.

37975080960 is a `hidden beast` number, since 3 + 79 + 7 + 508 + 0 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 37975080897 and 37975080906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 391495632 + ... + 391495728.

Almost surely, 2^37975080960 is an apocalyptic number.

37975080960 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 37975080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69939195480).

37975080960 is an abundant number, since it is smaller than the sum of its proper divisors (101903310000).

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

37975080960 is an frugal number, since it uses more digits than its factorization.

37975080960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 37975080960 in words is "thirty-seven billion, nine hundred seventy-five million, eighty thousand, nine hundred sixty".