460679976064 has 128 divisors (see below), whose sum is σ = 1183678012800. Its totient is φ = 173296435200.

The previous prime is 460679976061. The next prime is 460679976083.

460679976064 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×460679976064² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 460679975987 and 460679976005.

It is not an unprimeable number, because it can be changed into a prime (460679976061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520057 + ... + 1091704.

It is an arithmetic number, because the mean of its divisors is an integer number (9247484475).

Almost surely, 2^460679976064 is an apocalyptic number.

460679976064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

460679976064 is an abundant number, since it is smaller than the sum of its proper divisors (722998036736).

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

460679976064 is a wasteful number, since it uses less digits than its factorization.

460679976064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611822 (or 1611810 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 64.

The spelling of 460679976064 in words is "four hundred sixty billion, six hundred seventy-nine million, nine hundred seventy-six thousand, sixty-four".