641583360 has 432 divisors, whose sum is σ = 2490965568. Its totient is φ = 151142400.

The previous prime is 641583353. The next prime is 641583389. The reversal of 641583360 is 63385146.

641583360 is a `hidden beast` number, since 6 + 41 + 583 + 36 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 7729879 + ... + 7729961.

It is an arithmetic number, because the mean of its divisors is an integer number (5766124).

Almost surely, 2^641583360 is an apocalyptic number.

641583360 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 641583360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245482784).

641583360 is an abundant number, since it is smaller than the sum of its proper divisors (1849382208).

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

641583360 is a wasteful number, since it uses less digits than its factorization.

641583360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 641583360 is about 25329.4958497006. The cubic root of 641583360 is about 862.4839669357.

The spelling of 641583360 in words is "six hundred forty-one million, five hundred eighty-three thousand, three hundred sixty".