641754960 has 480 divisors, whose sum is σ = 2607583104. Its totient is φ = 130099200.

The previous prime is 641754943. The next prime is 641754989. The reversal of 641754960 is 69457146.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15652540 + ... + 15652580.

Almost surely, 2^641754960 is an apocalyptic number.

641754960 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 641754960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303791552).

641754960 is an abundant number, since it is smaller than the sum of its proper divisors (1965828144).

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

641754960 is a wasteful number, since it uses less digits than its factorization.

641754960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 641754960 is about 25332.8829784531. The cubic root of 641754960 is about 862.5608543494.

The spelling of 641754960 in words is "six hundred forty-one million, seven hundred fifty-four thousand, nine hundred sixty".