641177026560 has 2040 divisors, whose sum is σ = 2928949265880. Its totient is φ = 133177540608.

The previous prime is 641177026507. The next prime is 641177026601. The reversal of 641177026560 is 65620771146.

641177026560 is a `hidden beast` number, since 6 + 4 + 1 + 17 + 70 + 2 + 6 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 137599451136 + 503577575424 = 370944^2 + 709632^2 .

It is a tau number, because it is divible by the number of its divisors (2040).

It is a super-3 number, since 3×641177026560³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22109552626 + ... + 22109552654.

Almost surely, 2^641177026560 is an apocalyptic number.

641177026560 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 641177026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464474632940).

641177026560 is an abundant number, since it is smaller than the sum of its proper divisors (2287772239320).

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

641177026560 is an equidigital number, since it uses as much as digits as its factorization.

641177026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 641177026560 in words is "six hundred forty-one billion, one hundred seventy-seven million, twenty-six thousand, five hundred sixty".