38766376007568 has 160 divisors (see below), whose sum is σ = 122753592374400. Its totient is φ = 11615393433600.

The previous prime is 38766376007503. The next prime is 38766376007603. The reversal of 38766376007568 is 86570067366783.

38766376007568 is a `hidden beast` number, since 3 + 8 + 7 + 6 + 6 + 3 + 7 + 600 + 7 + 5 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 38766376007496 and 38766376007505.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45408013 + ... + 46253868.

It is an arithmetic number, because the mean of its divisors is an integer number (767209952340).

Almost surely, 2^{38766376007568} is an apocalyptic number.

It is an amenable number.

38766376007568 is an abundant number, since it is smaller than the sum of its proper divisors (83987216366832).

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

38766376007568 is a wasteful number, since it uses less digits than its factorization.

38766376007568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91661998 (or 91661986 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 72.

The spelling of 38766376007568 in words is "thirty-eight trillion, seven hundred sixty-six billion, three hundred seventy-six million, seven thousand, five hundred sixty-eight".