641947680 has 576 divisors, whose sum is σ = 2641766400. Its totient is φ = 145566720.

The previous prime is 641947679. The next prime is 641947681. The reversal of 641947680 is 86749146.

It is an interprime number because it is at equal distance from previous prime (641947679) and next prime (641947681).

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

It is not an unprimeable number, because it can be changed into a prime (641947681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8125881 + ... + 8125959.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^641947680 is an apocalyptic number.

641947680 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 641947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320883200).

641947680 is an abundant number, since it is smaller than the sum of its proper divisors (1999818720).

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

641947680 is a wasteful number, since it uses less digits than its factorization.

641947680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 641947680 is about 25336.6864447583. The cubic root of 641947680 is about 862.6471884910.

The spelling of 641947680 in words is "six hundred forty-one million, nine hundred forty-seven thousand, six hundred eighty".