641879040 has 352 divisors, whose sum is σ = 2334562560. Its totient is φ = 149094400.

The previous prime is 641879039. The next prime is 641879057. The reversal of 641879040 is 40978146.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a self number, because there is not a number n which added to its sum of digits gives 641879040.

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, 4899775 + ... + 4899905.

It is an arithmetic number, because the mean of its divisors is an integer number (6632280).

Almost surely, 2^641879040 is an apocalyptic number.

641879040 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 641879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167281280).

641879040 is an abundant number, since it is smaller than the sum of its proper divisors (1692683520).

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

641879040 is a wasteful number, since it uses less digits than its factorization.

641879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 641879040 is about 25335.3318509942. The cubic root of 641879040 is about 862.6164413260.

It can be divided in two parts, 6418 and 79040, that added together give a palindrome (85458).

The spelling of 641879040 in words is "six hundred forty-one million, eight hundred seventy-nine thousand, forty".