641971933162560 has 4480 divisors, whose sum is σ = 3271871025561600. Its totient is φ = 115050202398720.

The previous prime is 641971933162513. The next prime is 641971933162577. The reversal of 641971933162560 is 65261339179146.

641971933162560 is a `hidden beast` number, since 6 + 4 + 1 + 9 + 7 + 1 + 9 + 3 + 3 + 1 + 62 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 35986982121 + ... + 35986999959.

It is an arithmetic number, because the mean of its divisors is an integer number (730328353920).

Almost surely, 2^{641971933162560} is an apocalyptic number.

641971933162560 is a gapful number since it is divisible by the number (60) 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 641971933162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635935512780800).

641971933162560 is an abundant number, since it is smaller than the sum of its proper divisors (2629899092399040).

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

641971933162560 is a wasteful number, since it uses less digits than its factorization.

641971933162560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17991 (or 17972 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 641971933162560 in words is "six hundred forty-one trillion, nine hundred seventy-one billion, nine hundred thirty-three million, one hundred sixty-two thousand, five hundred sixty".