641338705920 has 384 divisors, whose sum is σ = 2269918909440. Its totient is φ = 153280512000.

The previous prime is 641338705879. The next prime is 641338705921. The reversal of 641338705920 is 29507833146.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×641338705920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 641338705920.

It is not an unprimeable number, because it can be changed into a prime (641338705921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23978955 + ... + 24005685.

It is an arithmetic number, because the mean of its divisors is an integer number (5911247160).

It is a 1-persistent number, because it is pandigital, but 2⋅641338705920 = 1282677411840 is not.

Almost surely, 2^641338705920 is an apocalyptic number.

641338705920 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 641338705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134959454720).

641338705920 is an abundant number, since it is smaller than the sum of its proper divisors (1628580203520).

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

641338705920 is a wasteful number, since it uses less digits than its factorization.

641338705920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26843 (or 26823 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 641338705920 in words is "six hundred forty-one billion, three hundred thirty-eight million, seven hundred five thousand, nine hundred twenty".