641192743618560 has 5376 divisors, whose sum is σ = 2967474308198400. Its totient is φ = 129520806395904.

The previous prime is 641192743618487. The next prime is 641192743618591. The reversal of 641192743618560 is 65816347291146.

641192743618560 is a `hidden beast` number, since 6 + 4 + 1 + 1 + 9 + 2 + 7 + 4 + 3 + 61 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a super-2 number, since 2×641192743618560² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 981918443194 + ... + 981918443846.

It is an arithmetic number, because the mean of its divisors is an integer number (551985548400).

It is a 1-persistent number, because it is pandigital, but 2⋅641192743618560 = 1282385487237120 is not.

Almost surely, 2^{641192743618560} is an apocalyptic number.

641192743618560 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 641192743618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483737154099200).

641192743618560 is an abundant number, since it is smaller than the sum of its proper divisors (2326281564579840).

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

641192743618560 is a wasteful number, since it uses less digits than its factorization.

641192743618560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 641192743618560 in words is "six hundred forty-one trillion, one hundred ninety-two billion, seven hundred forty-three million, six hundred eighteen thousand, five hundred sixty".