37149405696 has 480 divisors, whose sum is σ = 122793390720. Its totient is φ = 10724769792.

The previous prime is 37149405679. The next prime is 37149405731. The reversal of 37149405696 is 69650494173.

37149405696 is a `hidden beast` number, since 3 + 7 + 149 + 405 + 6 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81289500 + ... + 81289956.

It is an arithmetic number, because the mean of its divisors is an integer number (255819564).

Almost surely, 2^37149405696 is an apocalyptic number.

37149405696 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 37149405696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61396695360).

37149405696 is an abundant number, since it is smaller than the sum of its proper divisors (85643985024).

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

37149405696 is a wasteful number, since it uses less digits than its factorization.

37149405696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 37149405696 in words is "thirty-seven billion, one hundred forty-nine million, four hundred five thousand, six hundred ninety-six".