63057871263744 has 1344 divisors, whose sum is σ = 223022049606720. Its totient is φ = 17440057589760.

The previous prime is 63057871263743. The next prime is 63057871263757. The reversal of 63057871263744 is 44736217875036.

63057871263744 is a `hidden beast` number, since 6 + 3 + 0 + 578 + 7 + 1 + 26 + 37 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×63057871263744² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63057871263743) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 121032382204 + ... + 121032382724.

It is an arithmetic number, because the mean of its divisors is an integer number (165939025005).

Almost surely, 2^{63057871263744} is an apocalyptic number.

63057871263744 is a gapful number since it is divisible by the number (64) 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 63057871263744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111511024803360).

63057871263744 is an abundant number, since it is smaller than the sum of its proper divisors (159964178342976).

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

63057871263744 is an equidigital number, since it uses as much as digits as its factorization.

63057871263744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 63057871263744 in words is "sixty-three trillion, fifty-seven billion, eight hundred seventy-one million, two hundred sixty-three thousand, seven hundred forty-four".