641591580672 has 720 divisors, whose sum is σ = 2360906828280. Its totient is φ = 172491669504.

The previous prime is 641591580659. The next prime is 641591580673. The reversal of 641591580672 is 276085195146.

It is a happy number.

641591580672 is a `hidden beast` number, since 6 + 4 + 1 + 59 + 1 + 580 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641591580673) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 138182383 + ... + 138187025.

Almost surely, 2^641591580672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641591580672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180453414140).

641591580672 is an abundant number, since it is smaller than the sum of its proper divisors (1719315247608).

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

641591580672 is a wasteful number, since it uses less digits than its factorization.

641591580672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 641591580672 in words is "six hundred forty-one billion, five hundred ninety-one million, five hundred eighty thousand, six hundred seventy-two".