641372160 has 416 divisors, whose sum is σ = 2443932288. Its totient is φ = 141557760.

The previous prime is 641372153. The next prime is 641372203. The reversal of 641372160 is 61273146.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×641372160² = 822716495246131200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8785884 + ... + 8785956.

Almost surely, 2^641372160 is an apocalyptic number.

641372160 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 641372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221966144).

641372160 is an abundant number, since it is smaller than the sum of its proper divisors (1802560128).

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

641372160 is a wasteful number, since it uses less digits than its factorization.

641372160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 641372160 is about 25325.3264539670. The cubic root of 641372160 is about 862.3893174500.

The spelling of 641372160 in words is "six hundred forty-one million, three hundred seventy-two thousand, one hundred sixty".