37523986915968 has 640 divisors, whose sum is σ = 128478075454080. Its totient is φ = 10649553739776.

The previous prime is 37523986915957. The next prime is 37523986915969. The reversal of 37523986915968 is 86951968932573.

It is a happy number.

37523986915968 is a `hidden beast` number, since 3 + 7 + 52 + 398 + 6 + 91 + 5 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (37523986915969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10823184571 + ... + 10823188037.

It is an arithmetic number, because the mean of its divisors is an integer number (200746992897).

Almost surely, 2^{37523986915968} 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 37523986915968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64239037727040).

37523986915968 is an abundant number, since it is smaller than the sum of its proper divisors (90954088538112).

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

37523986915968 is a wasteful number, since it uses less digits than its factorization.

37523986915968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4433 counting only the distinct ones).

The product of its digits is 5290790400, while the sum is 81.

The spelling of 37523986915968 in words is "thirty-seven trillion, five hundred twenty-three billion, nine hundred eighty-six million, nine hundred fifteen thousand, nine hundred sixty-eight".