37113414480 has 60 divisors (see below), whose sum is σ = 124639219380. Its totient is φ = 9896910336.

The previous prime is 37113414479. The next prime is 37113414497. The reversal of 37113414480 is 8441431173.

37113414480 is a `hidden beast` number, since 37 + 1 + 134 + 14 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3926776896 + 33186637584 = 62664^2 + 182172^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 25772485 + ... + 25773924.

It is an arithmetic number, because the mean of its divisors is an integer number (2077320323).

Almost surely, 2^37113414480 is an apocalyptic number.

37113414480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

37113414480 is an abundant number, since it is smaller than the sum of its proper divisors (87525804900).

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

37113414480 is a wasteful number, since it uses less digits than its factorization.

37113414480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51546428 (or 51546419 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 37113414480 in words is "thirty-seven billion, one hundred thirteen million, four hundred fourteen thousand, four hundred eighty".