641164320 has 288 divisors, whose sum is σ = 2309658624. Its totient is φ = 161740800.

The previous prime is 641164319. The next prime is 641164331. The reversal of 641164320 is 23461146.

641164320 is a `hidden beast` number, since 6 + 4 + 11 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×641164320² = 822183370482124800, which contains 22 as substring.

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, 2365785 + ... + 2366055.

It is an arithmetic number, because the mean of its divisors is an integer number (8019648).

Almost surely, 2^641164320 is an apocalyptic number.

641164320 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 641164320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154829312).

641164320 is an abundant number, since it is smaller than the sum of its proper divisors (1668494304).

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

641164320 is a wasteful number, since it uses less digits than its factorization.

641164320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 641164320 is about 25321.2227192922. Note that the first 3 decimals coincide. The cubic root of 641164320 is about 862.2961534642.

The spelling of 641164320 in words is "six hundred forty-one million, one hundred sixty-four thousand, three hundred twenty".