480504506688864 has 144 divisors (see below), whose sum is σ = 1561686279648768. Its totient is φ = 137282902315776.

The previous prime is 480504506688799. The next prime is 480504506688923. The reversal of 480504506688864 is 468886605405084.

480504506688864 is a `hidden beast` number, since 4 + 8 + 0 + 50 + 4 + 506 + 6 + 8 + 8 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×480504506688864² (a number of 30 digits) contains 22 as substring.

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 = 480504506688792 and 480504506688801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64290499 + ... + 71374205.

It is an arithmetic number, because the mean of its divisors is an integer number (10845043608672).

Almost surely, 2^{480504506688864} is an apocalyptic number.

It is an amenable number.

480504506688864 is an abundant number, since it is smaller than the sum of its proper divisors (1081181772959904).

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

480504506688864 is a wasteful number, since it uses less digits than its factorization.

480504506688864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7117377 (or 7117366 counting only the distinct ones).

The product of its (nonzero) digits is 1415577600, while the sum is 72.

The spelling of 480504506688864 in words is "four hundred eighty trillion, five hundred four billion, five hundred six million, six hundred eighty-eight thousand, eight hundred sixty-four".