460276672064 has 56 divisors (see below), whose sum is σ = 996564619008. Its totient is φ = 209180925440.

The previous prime is 460276672061. The next prime is 460276672067.

460276672064 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (460276672061) and next prime (460276672067).

It is a super-2 number, since 2×460276672064² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (460276672061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4309937 + ... + 4415439.

It is an arithmetic number, because the mean of its divisors is an integer number (17795796768).

Almost surely, 2^460276672064 is an apocalyptic number.

460276672064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

460276672064 is an abundant number, since it is smaller than the sum of its proper divisors (536287946944).

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

460276672064 is a wasteful number, since it uses less digits than its factorization.

460276672064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111723 (or 111713 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 50.

The spelling of 460276672064 in words is "four hundred sixty billion, two hundred seventy-six million, six hundred seventy-two thousand, sixty-four".