37968651945 has 96 divisors (see below), whose sum is σ = 75984480000. Its totient is φ = 17180232192.

The previous prime is 37968651893. The next prime is 37968651953. The reversal of 37968651945 is 54915686973.

37968651945 is a `hidden beast` number, since 3 + 79 + 6 + 8 + 6 + 519 + 45 = 666.

It is not a de Polignac number, because 37968651945 - 2¹⁷ = 37968520873 is a prime.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 13810431 + ... + 13813179.

It is an arithmetic number, because the mean of its divisors is an integer number (791505000).

Almost surely, 2^37968651945 is an apocalyptic number.

37968651945 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

37968651945 is an abundant number, since it is smaller than the sum of its proper divisors (38015828055).

37968651945 is a wasteful number, since it uses less digits than its factorization.

37968651945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3196 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 37968651945 in words is "thirty-seven billion, nine hundred sixty-eight million, six hundred fifty-one thousand, nine hundred forty-five".