63056457072 has 320 divisors, whose sum is σ = 210470338560. Its totient is φ = 17703899136.

The previous prime is 63056457067. The next prime is 63056457073. The reversal of 63056457072 is 27075465036.

63056457072 is a `hidden beast` number, since 6 + 3 + 0 + 5 + 6 + 4 + 570 + 72 = 666.

It is a super-2 number, since 2×63056457072² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63056457073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43396698 + ... + 43398150.

It is an arithmetic number, because the mean of its divisors is an integer number (657719808).

Almost surely, 2^63056457072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63056457072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105235169280).

63056457072 is an abundant number, since it is smaller than the sum of its proper divisors (147413881488).

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

63056457072 is a wasteful number, since it uses less digits than its factorization.

63056457072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 63056457072 in words is "sixty-three billion, fifty-six million, four hundred fifty-seven thousand, seventy-two".