641943120 has 720 divisors, whose sum is σ = 2793839040. Its totient is φ = 120766464.

The previous prime is 641943097. The next prime is 641943121. The reversal of 641943120 is 21349146.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641943121) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 33786471 + ... + 33786489.

It is an arithmetic number, because the mean of its divisors is an integer number (3880332).

Almost surely, 2^641943120 is an apocalyptic number.

641943120 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 641943120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396919520).

641943120 is an abundant number, since it is smaller than the sum of its proper divisors (2151895920).

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

641943120 is a wasteful number, since it uses less digits than its factorization.

641943120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 641943120 is about 25336.5964565093. The cubic root of 641943120 is about 862.6451459151.

The spelling of 641943120 in words is "six hundred forty-one million, nine hundred forty-three thousand, one hundred twenty".