641612260080 has 1280 divisors, whose sum is σ = 2647601971200. Its totient is φ = 141479654400.

The previous prime is 641612260043. The next prime is 641612260103. The reversal of 641612260080 is 80062216146.

641612260080 is a `hidden beast` number, since 6 + 41 + 6 + 1 + 2 + 2 + 600 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5052064977 + ... + 5052065103.

It is an arithmetic number, because the mean of its divisors is an integer number (2068439040).

Almost surely, 2^641612260080 is an apocalyptic number.

641612260080 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 641612260080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323800985600).

641612260080 is an abundant number, since it is smaller than the sum of its proper divisors (2005989711120).

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

641612260080 is a wasteful number, since it uses less digits than its factorization.

641612260080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 641612260080 in words is "six hundred forty-one billion, six hundred twelve million, two hundred sixty thousand, eighty".