641064960 has 336 divisors, whose sum is σ = 2330842176. Its totient is φ = 162791424.

The previous prime is 641064943. The next prime is 641064967. The reversal of 641064960 is 69460146.

641064960 is a `hidden beast` number, since 6 + 4 + 1 + 0 + 649 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641064967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13639657 + ... + 13639703.

Almost surely, 2^641064960 is an apocalyptic number.

641064960 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 641064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165421088).

641064960 is an abundant number, since it is smaller than the sum of its proper divisors (1689777216).

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

641064960 is a wasteful number, since it uses less digits than its factorization.

641064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 641064960 is about 25319.2606527126. The cubic root of 641064960 is about 862.2516083717.

It can be divided in two parts, 64 and 1064960, that added together give a square (1065024 = 1032²).

The spelling of 641064960 in words is "six hundred forty-one million, sixty-four thousand, nine hundred sixty".