456772135680 has 648 divisors, whose sum is σ = 1935209530800. Its totient is φ = 98907734016.

The previous prime is 456772135667. The next prime is 456772135691. The reversal of 456772135680 is 86531277654.

456772135680 is a `hidden beast` number, since 4 + 5 + 6 + 7 + 72 + 1 + 3 + 568 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10703826 + ... + 10746414.

Almost surely, 2^456772135680 is an apocalyptic number.

456772135680 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 456772135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967604765400).

456772135680 is an abundant number, since it is smaller than the sum of its proper divisors (1478437395120).

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

456772135680 is a wasteful number, since it uses less digits than its factorization.

456772135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42649 (or 42625 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 456772135680 in words is "four hundred fifty-six billion, seven hundred seventy-two million, one hundred thirty-five thousand, six hundred eighty".