641032579476576 has 1296 divisors, whose sum is σ = 2220595615274400. Its totient is φ = 171817003008000.

The previous prime is 641032579476491. The next prime is 641032579476701. The reversal of 641032579476576 is 675674975230146.

641032579476576 is a `hidden beast` number, since 6 + 4 + 1 + 0 + 3 + 2 + 5 + 7 + 9 + 47 + 6 + 576 = 666.

It is a super-2 number, since 2×641032579476576² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 533749024776 + ... + 533749025976.

It is an arithmetic number, because the mean of its divisors is an integer number (1713422542650).

Almost surely, 2^{641032579476576} 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 641032579476576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110297807637200).

641032579476576 is an abundant number, since it is smaller than the sum of its proper divisors (1579563035797824).

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

641032579476576 is a wasteful number, since it uses less digits than its factorization.

641032579476576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 1600300800, while the sum is 72.

The spelling of 641032579476576 in words is "six hundred forty-one trillion, thirty-two billion, five hundred seventy-nine million, four hundred seventy-six thousand, five hundred seventy-six".