872479564767 has 24 divisors (see below), whose sum is σ = 1326930066800. Its totient is φ = 550893115008.

The previous prime is 872479564727. The next prime is 872479564777. The reversal of 872479564767 is 767465974278.

872479564767 is a `hidden beast` number, since 8 + 7 + 2 + 479 + 56 + 47 + 67 = 666.

It is not a de Polignac number, because 872479564767 - 2¹² = 872479560671 is a prime.

It is a super-2 number, since 2×872479564767² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 872479564695 and 872479564704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872479564727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32368 + ... + 1321365.

Almost surely, 2^872479564767 is an apocalyptic number.

872479564767 is a deficient number, since it is larger than the sum of its proper divisors (454450502033).

872479564767 is a wasteful number, since it uses less digits than its factorization.

872479564767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357527 (or 1357524 counting only the distinct ones).

The product of its digits is 995742720, while the sum is 72.

The spelling of 872479564767 in words is "eight hundred seventy-two billion, four hundred seventy-nine million, five hundred sixty-four thousand, seven hundred sixty-seven".