641658916080 has 1440 divisors, whose sum is σ = 2882310609600. Its totient is φ = 130608930816.

The previous prime is 641658916037. The next prime is 641658916111. The reversal of 641658916080 is 80619856146.

641658916080 is a `hidden beast` number, since 6 + 41 + 6 + 589 + 16 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 518721222 + ... + 518722458.

It is an arithmetic number, because the mean of its divisors is an integer number (2001604590).

Almost surely, 2^641658916080 is an apocalyptic number.

641658916080 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 641658916080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441155304800).

641658916080 is an abundant number, since it is smaller than the sum of its proper divisors (2240651693520).

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

641658916080 is a wasteful number, since it uses less digits than its factorization.

641658916080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 641658916080 in words is "six hundred forty-one billion, six hundred fifty-eight million, nine hundred sixteen thousand, eighty".