641295360 has 176 divisors, whose sum is σ = 2279539200. Its totient is φ = 170975232.

The previous prime is 641295349. The next prime is 641295409. The reversal of 641295360 is 63592146.

It is a happy number.

641295360 is a `hidden beast` number, since 6 + 4 + 1 + 295 + 360 = 666.

It is a super-2 number, since 2×641295360² = 822519477515059200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135921 + ... + 140559.

Almost surely, 2^641295360 is an apocalyptic number.

641295360 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 641295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139769600).

641295360 is an abundant number, since it is smaller than the sum of its proper divisors (1638243840).

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

641295360 is a wasteful number, since it uses less digits than its factorization.

641295360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4673 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 641295360 is about 25323.8101398664. The cubic root of 641295360 is about 862.3548943036.

The spelling of 641295360 in words is "six hundred forty-one million, two hundred ninety-five thousand, three hundred sixty".