456604555680 has 2880 divisors, whose sum is σ = 2207454923520. Its totient is φ = 87787929600.

The previous prime is 456604555663. The next prime is 456604555703. The reversal of 456604555680 is 86555406654.

456604555680 is a `hidden beast` number, since 4 + 5 + 6 + 6 + 0 + 4 + 5 + 556 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6431050045 + ... + 6431050115.

It is an arithmetic number, because the mean of its divisors is an integer number (766477404).

Almost surely, 2^456604555680 is an apocalyptic number.

456604555680 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 456604555680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103727461760).

456604555680 is an abundant number, since it is smaller than the sum of its proper divisors (1750850367840).

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

456604555680 is a wasteful number, since it uses less digits than its factorization.

456604555680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 456604555680 in words is "four hundred fifty-six billion, six hundred four million, five hundred fifty-five thousand, six hundred eighty".