37116208488960 has 1120 divisors, whose sum is σ = 138368091129840. Its totient is φ = 9532821602304.

The previous prime is 37116208488937. The next prime is 37116208488967. The reversal of 37116208488960 is 6988480261173.

37116208488960 is a `hidden beast` number, since 3 + 7 + 1 + 1 + 62 + 0 + 8 + 488 + 96 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15785555394816 + 21330653094144 = 3973104^2 + 4618512^2 .

It is a super-2 number, since 2×37116208488960² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (37116208488967) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 36639889414 + ... + 36639890426.

Almost surely, 2^{37116208488960} is an apocalyptic number.

37116208488960 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 37116208488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69184045564920).

37116208488960 is an abundant number, since it is smaller than the sum of its proper divisors (101251882640880).

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

37116208488960 is an equidigital number, since it uses as much as digits as its factorization.

37116208488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 37116208488960 in words is "thirty-seven trillion, one hundred sixteen billion, two hundred eight million, four hundred eighty-eight thousand, nine hundred sixty".