37140207405364 has 36 divisors (see below), whose sum is σ = 77450920337700. Its totient is φ = 15529006577280.

The previous prime is 37140207405341. The next prime is 37140207405391. The reversal of 37140207405364 is 46350470204173.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5709136784400 + 31431070620964 = 2389380^2 + 5606342^2 .

It is a super-2 number, since 2×37140207405364² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2310856039 + ... + 2310872110.

It is an arithmetic number, because the mean of its divisors is an integer number (2151414453825).

Almost surely, 2^{37140207405364} is an apocalyptic number.

It is an amenable number.

37140207405364 is an abundant number, since it is smaller than the sum of its proper divisors (40310712932336).

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

37140207405364 is a wasteful number, since it uses less digits than its factorization.

37140207405364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4621728208 (or 4621728199 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 46.

The spelling of 37140207405364 in words is "thirty-seven trillion, one hundred forty billion, two hundred seven million, four hundred five thousand, three hundred sixty-four".