641127536639856 has 240 divisors, whose sum is σ = 2119194294759360. Its totient is φ = 177129989406720.

The previous prime is 641127536639789. The next prime is 641127536639857. The reversal of 641127536639856 is 658936635721146.

641127536639856 is a `hidden beast` number, since 6 + 4 + 1 + 1 + 2 + 7 + 536 + 6 + 3 + 9 + 85 + 6 = 666.

It is a super-2 number, since 2×641127536639856² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641127536639857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63972201 + ... + 73312328.

It is an arithmetic number, because the mean of its divisors is an integer number (8829976228164).

Almost surely, 2^{641127536639856} is an apocalyptic number.

It is an amenable number.

641127536639856 is an abundant number, since it is smaller than the sum of its proper divisors (1478066758119504).

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

641127536639856 is a wasteful number, since it uses less digits than its factorization.

641127536639856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137284704 (or 137284695 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 72.

The spelling of 641127536639856 in words is "six hundred forty-one trillion, one hundred twenty-seven billion, five hundred thirty-six million, six hundred thirty-nine thousand, eight hundred fifty-six".