641077680 has 80 divisors (see below), whose sum is σ = 2009737440. Its totient is φ = 169027584.

The previous prime is 641077649. The next prime is 641077693. The reversal of 641077680 is 86770146.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6354 + ... + 36366.

It is an arithmetic number, because the mean of its divisors is an integer number (25121718).

Almost surely, 2^641077680 is an apocalyptic number.

641077680 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 641077680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004868720).

641077680 is an abundant number, since it is smaller than the sum of its proper divisors (1368659760).

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

641077680 is a wasteful number, since it uses less digits than its factorization.

641077680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30118 (or 30112 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 641077680 is about 25319.5118436355. The cubic root of 641077680 is about 862.2573112612.

The spelling of 641077680 in words is "six hundred forty-one million, seventy-seven thousand, six hundred eighty".