641731267320 has 512 divisors, whose sum is σ = 2286026910720. Its totient is φ = 142073118720.

The previous prime is 641731267301. The next prime is 641731267363. The reversal of 641731267320 is 23762137146.

It is a super-2 number, since 2×641731267320² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 875485674 + ... + 875486406.

It is an arithmetic number, because the mean of its divisors is an integer number (4464896310).

Almost surely, 2^641731267320 is an apocalyptic number.

641731267320 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 641731267320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143013455360).

641731267320 is an abundant number, since it is smaller than the sum of its proper divisors (1644295643400).

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

641731267320 is a wasteful number, since it uses less digits than its factorization.

641731267320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 641731267320 in words is "six hundred forty-one billion, seven hundred thirty-one million, two hundred sixty-seven thousand, three hundred twenty".