641828880 has 640 divisors, whose sum is σ = 2931240960. Its totient is φ = 124968960.

The previous prime is 641828861. The next prime is 641828909. The reversal of 641828880 is 88828146.

It is a happy number.

It is a super-2 number, since 2×641828880² = 823888622404108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2827327 + ... + 2827553.

It is an arithmetic number, because the mean of its divisors is an integer number (4580064).

Almost surely, 2^641828880 is an apocalyptic number.

641828880 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 641828880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465620480).

641828880 is an abundant number, since it is smaller than the sum of its proper divisors (2289412080).

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

641828880 is a wasteful number, since it uses less digits than its factorization.

641828880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 641828880 is about 25334.3419097477. The cubic root of 641828880 is about 862.5939708577.

The spelling of 641828880 in words is "six hundred forty-one million, eight hundred twenty-eight thousand, eight hundred eighty".