37941064568064 has 720 divisors, whose sum is σ = 131614958458368. Its totient is φ = 10646787723264.

The previous prime is 37941064568063. The next prime is 37941064568087. The reversal of 37941064568064 is 46086546014973.

37941064568064 is a `hidden beast` number, since 3 + 7 + 9 + 4 + 1 + 0 + 6 + 4 + 568 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 37941064567992 and 37941064568010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37941064568063) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3374633227 + ... + 3374644469.

Almost surely, 2^{37941064568064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37941064568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65807479229184).

37941064568064 is an abundant number, since it is smaller than the sum of its proper divisors (93673893890304).

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

37941064568064 is a wasteful number, since it uses less digits than its factorization.

37941064568064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11692 (or 11669 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 37941064568064 in words is "thirty-seven trillion, nine hundred forty-one billion, sixty-four million, five hundred sixty-eight thousand, sixty-four".