463646538720 has 144 divisors (see below), whose sum is σ = 1636752368160. Its totient is φ = 119375649792.

The previous prime is 463646538709. The next prime is 463646538737. The reversal of 463646538720 is 27835646364.

463646538720 is a `hidden beast` number, since 4 + 6 + 36 + 4 + 6 + 538 + 72 + 0 = 666.

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

It is a super-2 number, since 2×463646538720² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 5509564 + ... + 5593083.

It is an arithmetic number, because the mean of its divisors is an integer number (11366335890).

Almost surely, 2^463646538720 is an apocalyptic number.

463646538720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463646538720 is an abundant number, since it is smaller than the sum of its proper divisors (1173105829440).

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

463646538720 is a wasteful number, since it uses less digits than its factorization.

463646538720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11102697 (or 11102686 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 463646538720 in words is "four hundred sixty-three billion, six hundred forty-six million, five hundred thirty-eight thousand, seven hundred twenty".