64827180128256 has 1152 divisors, whose sum is σ = 225950632427520. Its totient is φ = 16158552883200.

The previous prime is 64827180128251. The next prime is 64827180128323. The reversal of 64827180128256 is 65282108172846.

It is a happy number.

It is a super-2 number, since 2×64827180128256² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64827180128256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64827180128251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9688709871 + ... + 9688716561.

It is an arithmetic number, because the mean of its divisors is an integer number (196137701760).

Almost surely, 2^{64827180128256} 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 64827180128256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112975316213760).

64827180128256 is an abundant number, since it is smaller than the sum of its proper divisors (161123452299264).

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

64827180128256 is a wasteful number, since it uses less digits than its factorization.

64827180128256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6823 (or 6790 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 60.

The spelling of 64827180128256 in words is "sixty-four trillion, eight hundred twenty-seven billion, one hundred eighty million, one hundred twenty-eight thousand, two hundred fifty-six".