641358900 has 432 divisors, whose sum is σ = 2547836928. Its totient is φ = 131328000.

The previous prime is 641358877. The next prime is 641358911. The reversal of 641358900 is 9853146.

641358900 is a `hidden beast` number, since 64 + 13 + 589 + 0 + 0 = 666.

It is a super-2 number, since 2×641358900² = 822682477218420000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3357805 + ... + 3357995.

Almost surely, 2^641358900 is an apocalyptic number.

641358900 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 641358900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273918464).

641358900 is an abundant number, since it is smaller than the sum of its proper divisors (1906478028).

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

641358900 is a wasteful number, since it uses less digits than its factorization.

641358900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 641358900 is about 25325.0646593449. The cubic root of 641358900 is about 862.3833742749.

The spelling of 641358900 in words is "six hundred forty-one million, three hundred fifty-eight thousand, nine hundred".