37116113791680 has 3024 divisors, whose sum is σ = 168798939918336. Its totient is φ = 7325531136000.

The previous prime is 37116113791663. The next prime is 37116113791733. The reversal of 37116113791680 is 8619731161173.

It is a happy number.

37116113791680 is a `hidden beast` number, since 3 + 7 + 1 + 1 + 611 + 3 + 7 + 9 + 16 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 166439972049 + ... + 166439972271.

It is an arithmetic number, because the mean of its divisors is an integer number (55819755264).

Almost surely, 2^{37116113791680} is an apocalyptic number.

37116113791680 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 37116113791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84399469959168).

37116113791680 is an abundant number, since it is smaller than the sum of its proper divisors (131682826126656).

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

37116113791680 is a wasteful number, since it uses less digits than its factorization.

37116113791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 37116113791680 in words is "thirty-seven trillion, one hundred sixteen billion, one hundred thirteen million, seven hundred ninety-one thousand, six hundred eighty".