37456696368 has 960 divisors, whose sum is σ = 146977259520. Its totient is φ = 8622028800.

The previous prime is 37456696367. The next prime is 37456696397. The reversal of 37456696368 is 86369665473.

It is a happy number.

37456696368 is a `hidden beast` number, since 3 + 7 + 4 + 566 + 9 + 6 + 3 + 68 = 666.

It is a super-3 number, since 3×37456696368³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (37456696367) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 177519783 + ... + 177519993.

It is an arithmetic number, because the mean of its divisors is an integer number (153101312).

Almost surely, 2^37456696368 is an apocalyptic number.

37456696368 is a gapful number since it is divisible by the number (38) 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 37456696368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73488629760).

37456696368 is an abundant number, since it is smaller than the sum of its proper divisors (109520563152).

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

37456696368 is a wasteful number, since it uses less digits than its factorization.

37456696368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 309 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 37456696368 in words is "thirty-seven billion, four hundred fifty-six million, six hundred ninety-six thousand, three hundred sixty-eight".