38250564768 has 192 divisors, whose sum is σ = 124290028800. Its totient is φ = 11363466240.

The previous prime is 38250564727. The next prime is 38250564769. The reversal of 38250564768 is 86746505283.

38250564768 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 0 + 564 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (38250564769) 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 31 ways as a sum of consecutive naturals, for example, 267013 + ... + 384443.

It is an arithmetic number, because the mean of its divisors is an integer number (647343900).

Almost surely, 2^38250564768 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 38250564768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62145014400).

38250564768 is an abundant number, since it is smaller than the sum of its proper divisors (86039464032).

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

38250564768 is a wasteful number, since it uses less digits than its factorization.

38250564768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117492 (or 117478 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 38250564768 in words is "thirty-eight billion, two hundred fifty million, five hundred sixty-four thousand, seven hundred sixty-eight".