465676028160 has 1152 divisors, whose sum is σ = 1878727065600. Its totient is φ = 95909806080.

The previous prime is 465676028149. The next prime is 465676028173. The reversal of 465676028160 is 61820676564.

It is a super-2 number, since 2×465676028160² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1060765221 + ... + 1060765659.

Almost surely, 2^465676028160 is an apocalyptic number.

465676028160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465676028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939363532800).

465676028160 is an abundant number, since it is smaller than the sum of its proper divisors (1413051037440).

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

465676028160 is a wasteful number, since it uses less digits than its factorization.

465676028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 465676028160 in words is "four hundred sixty-five billion, six hundred seventy-six million, twenty-eight thousand, one hundred sixty".