39950475264 has 672 divisors, whose sum is σ = 141976912896. Its totient is φ = 10988421120.

The previous prime is 39950475263. The next prime is 39950475289. The reversal of 39950475264 is 46257405993.

39950475264 is a `hidden beast` number, since 3 + 9 + 9 + 504 + 75 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a self number, because there is not a number n which added to its sum of digits gives 39950475264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39950475263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 654925794 + ... + 654925854.

It is an arithmetic number, because the mean of its divisors is an integer number (211275168).

Almost surely, 2^39950475264 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 39950475264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70988456448).

39950475264 is an abundant number, since it is smaller than the sum of its proper divisors (102026437632).

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

39950475264 is an frugal number, since it uses more digits than its factorization.

39950475264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 39950475264 in words is "thirty-nine billion, nine hundred fifty million, four hundred seventy-five thousand, two hundred sixty-four".