37587984960 has 112 divisors (see below), whose sum is σ = 119405497536. Its totient is φ = 10018117632.

The previous prime is 37587984911. The next prime is 37587984971. The reversal of 37587984960 is 6948978573.

It is a super-2 number, since 2×37587984960² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 37587984891 and 37587984900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1990282 + ... + 2009078.

Almost surely, 2^37587984960 is an apocalyptic number.

37587984960 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 37587984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59702748768).

37587984960 is an abundant number, since it is smaller than the sum of its proper divisors (81817512576).

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

37587984960 is a wasteful number, since it uses less digits than its factorization.

37587984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20900 (or 20890 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 66.

The spelling of 37587984960 in words is "thirty-seven billion, five hundred eighty-seven million, nine hundred eighty-four thousand, nine hundred sixty".