641118965760 has 2080 divisors, whose sum is σ = 2941173430272. Its totient is φ = 129950023680.

The previous prime is 641118965723. The next prime is 641118965771. The reversal of 641118965760 is 67569811146.

641118965760 is a `hidden beast` number, since 64 + 1 + 1 + 1 + 8 + 9 + 6 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a super-2 number, since 2×641118965760² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 641118965697 and 641118965706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4679700412 + ... + 4679700548.

Almost surely, 2^641118965760 is an apocalyptic number.

641118965760 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 641118965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470586715136).

641118965760 is an abundant number, since it is smaller than the sum of its proper divisors (2300054464512).

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

641118965760 is a wasteful number, since it uses less digits than its factorization.

641118965760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 641118965760 in words is "six hundred forty-one billion, one hundred eighteen million, nine hundred sixty-five thousand, seven hundred sixty".