63857441636352 has 1760 divisors, whose sum is σ = 249646525172352. Its totient is φ = 15850845241344.

The previous prime is 63857441636341. The next prime is 63857441636411. The reversal of 63857441636352 is 25363614475836.

63857441636352 is a `hidden beast` number, since 6 + 3 + 8 + 574 + 4 + 1 + 6 + 3 + 6 + 3 + 52 = 666.

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

Its product of digits (261273600) is a multiple of the sum of its prime divisors (42).

It is a self number, because there is not a number n which added to its sum of digits gives 63857441636352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3756320096248 + ... + 3756320096264.

Almost surely, 2^{63857441636352} 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 63857441636352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124823262586176).

63857441636352 is an abundant number, since it is smaller than the sum of its proper divisors (185789083536000).

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

63857441636352 is an frugal number, since it uses more digits than its factorization.

63857441636352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 42 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 63.

The spelling of 63857441636352 in words is "sixty-three trillion, eight hundred fifty-seven billion, four hundred forty-one million, six hundred thirty-six thousand, three hundred fifty-two".