641886000 has 640 divisors, whose sum is σ = 2674114560. Its totient is φ = 129024000.

The previous prime is 641885989. The next prime is 641886023. The reversal of 641886000 is 688146.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20705985 + ... + 20706015.

It is an arithmetic number, because the mean of its divisors is an integer number (4178304).

Almost surely, 2^641886000 is an apocalyptic number.

641886000 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 641886000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337057280).

641886000 is an abundant number, since it is smaller than the sum of its proper divisors (2032228560).

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

641886000 is a wasteful number, since it uses less digits than its factorization.

641886000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 641886000 is about 25335.4692082069. The cubic root of 641886000 is about 862.6195591454.

The spelling of 641886000 in words is "six hundred forty-one million, eight hundred eighty-six thousand".