37790112116736 has 624 divisors, whose sum is σ = 126139502833344. Its totient is φ = 10677786771456.

The previous prime is 37790112116693. The next prime is 37790112116747. The reversal of 37790112116736 is 63761121109773.

It is a happy number.

37790112116736 is a `hidden beast` number, since 377 + 90 + 1 + 1 + 2 + 116 + 73 + 6 = 666.

It is a super-3 number, since 3×37790112116736³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8794531740 + ... + 8794536036.

It is an arithmetic number, because the mean of its divisors is an integer number (202146639156).

Almost surely, 2^{37790112116736} is an apocalyptic number.

37790112116736 is a gapful number since it is divisible by the number (36) 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 37790112116736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63069751416672).

37790112116736 is an abundant number, since it is smaller than the sum of its proper divisors (88349390716608).

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

37790112116736 is a wasteful number, since it uses less digits than its factorization.

37790112116736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4704 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 37790112116736 in words is "thirty-seven trillion, seven hundred ninety billion, one hundred twelve million, one hundred sixteen thousand, seven hundred thirty-six".