72845354664 has 48 divisors (see below), whose sum is σ = 197747334720. Its totient is φ = 24225436320.

The previous prime is 72845354657. The next prime is 72845354689. The reversal of 72845354664 is 46645354827.

72845354664 is a `hidden beast` number, since 7 + 2 + 8 + 4 + 535 + 46 + 64 = 666.

It is a super-2 number, since 2×72845354664² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72845354664.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1142682 + ... + 1204745.

It is an arithmetic number, because the mean of its divisors is an integer number (4119736140).

Almost surely, 2^72845354664 is an apocalyptic number.

It is an amenable number.

72845354664 is an abundant number, since it is smaller than the sum of its proper divisors (124901980056).

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

72845354664 is a wasteful number, since it uses less digits than its factorization.

72845354664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347870 (or 2347863 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 54.

The spelling of 72845354664 in words is "seventy-two billion, eight hundred forty-five million, three hundred fifty-four thousand, six hundred sixty-four".