37049642595168 has 384 divisors, whose sum is σ = 115306934400000. Its totient is φ = 10191723429888.

The previous prime is 37049642595167. The next prime is 37049642595179. The reversal of 37049642595168 is 86159524694073.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37049642595167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15018094671 + ... + 15018097137.

It is an arithmetic number, because the mean of its divisors is an integer number (300278475000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅37049642595168 = 74099285190336, but 3⋅37049642595168 = 111148927785504 is not.

Almost surely, 2^{37049642595168} 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 37049642595168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57653467200000).

37049642595168 is an abundant number, since it is smaller than the sum of its proper divisors (78257291804832).

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

37049642595168 is a wasteful number, since it uses less digits than its factorization.

37049642595168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 69.

The spelling of 37049642595168 in words is "thirty-seven trillion, forty-nine billion, six hundred forty-two million, five hundred ninety-five thousand, one hundred sixty-eight".