641733120 has 480 divisors, whose sum is σ = 2665757952. Its totient is φ = 139493376.

The previous prime is 641733101. The next prime is 641733137. The reversal of 641733120 is 21337146.

641733120 is a `hidden beast` number, since 641 + 7 + 3 + 3 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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, 3709354 + ... + 3709526.

Almost surely, 2^641733120 is an apocalyptic number.

641733120 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 641733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332878976).

641733120 is an abundant number, since it is smaller than the sum of its proper divisors (2024024832).

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

641733120 is a wasteful number, since it uses less digits than its factorization.

641733120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 641733120 is about 25332.4519144910. The cubic root of 641733120 is about 862.5510694398.

The spelling of 641733120 in words is "six hundred forty-one million, seven hundred thirty-three thousand, one hundred twenty".