641740216320 has 672 divisors, whose sum is σ = 2638665862560. Its totient is φ = 146671534080.

The previous prime is 641740216319. The next prime is 641740216361. The reversal of 641740216320 is 23612047146.

641740216320 is a `hidden beast` number, since 6 + 4 + 17 + 4 + 0 + 2 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 52248580 + ... + 52260860.

It is an arithmetic number, because the mean of its divisors is an integer number (3926586105).

Almost surely, 2^641740216320 is an apocalyptic number.

641740216320 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 641740216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319332931280).

641740216320 is an abundant number, since it is smaller than the sum of its proper divisors (1996925646240).

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

641740216320 is an equidigital number, since it uses as much as digits as its factorization.

641740216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12333 (or 12298 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 641740216320 in words is "six hundred forty-one billion, seven hundred forty million, two hundred sixteen thousand, three hundred twenty".