455660637485760 has 4480 divisors, whose sum is σ = 2052299799644160. Its totient is φ = 94036996915200.

The previous prime is 455660637485737. The next prime is 455660637485783. The reversal of 455660637485760 is 67584736066554.

455660637485760 is a `hidden beast` number, since 4 + 5 + 5 + 6 + 6 + 0 + 6 + 3 + 7 + 48 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (455660637485737) and next prime (455660637485783).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1890708039240 + ... + 1890708039480.

Almost surely, 2^{455660637485760} is an apocalyptic number.

455660637485760 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 455660637485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026149899822080).

455660637485760 is an abundant number, since it is smaller than the sum of its proper divisors (1596639162158400).

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

455660637485760 is an equidigital number, since it uses as much as digits as its factorization.

455660637485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 3048192000, while the sum is 72.

The spelling of 455660637485760 in words is "four hundred fifty-five trillion, six hundred sixty billion, six hundred thirty-seven million, four hundred eighty-five thousand, seven hundred sixty".