460767505655600 has 120 divisors (see below), whose sum is σ = 1300524340250352. Its totient is φ = 154663218662400.

The previous prime is 460767505655581. The next prime is 460767505655609. The reversal of 460767505655600 is 6556505767064.

It is a super-2 number, since 2×460767505655600² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (460767505655609) 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, 4027630787 + ... + 4027745186.

Almost surely, 2^{460767505655600} is an apocalyptic number.

460767505655600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460767505655600 is an abundant number, since it is smaller than the sum of its proper divisors (839756834594752).

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

460767505655600 is a wasteful number, since it uses less digits than its factorization.

460767505655600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8055376015 (or 8055376004 counting only the distinct ones).

The product of its (nonzero) digits is 158760000, while the sum is 62.

The spelling of 460767505655600 in words is "four hundred sixty trillion, seven hundred sixty-seven billion, five hundred five million, six hundred fifty-five thousand, six hundred".