455964871680 has 1056 divisors, whose sum is σ = 1753769378880. Its totient is φ = 112302489600.

The previous prime is 455964871669. The next prime is 455964871721. The reversal of 455964871680 is 86178469554.

455964871680 is a `hidden beast` number, since 4 + 5 + 5 + 96 + 487 + 1 + 68 + 0 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4035087304 + ... + 4035087416.

Almost surely, 2^455964871680 is an apocalyptic number.

455964871680 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 455964871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876884689440).

455964871680 is an abundant number, since it is smaller than the sum of its proper divisors (1297804507200).

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

455964871680 is a wasteful number, since it uses less digits than its factorization.

455964871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 455964871680 in words is "four hundred fifty-five billion, nine hundred sixty-four million, eight hundred seventy-one thousand, six hundred eighty".