641247886080 has 432 divisors, whose sum is σ = 2305009185024. Its totient is φ = 164414914560.

The previous prime is 641247886073. The next prime is 641247886087. The reversal of 641247886080 is 80688742146.

641247886080 is a `hidden beast` number, since 6 + 4 + 1 + 24 + 7 + 8 + 8 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (641247886073) and next prime (641247886087).

It is a super-2 number, since 2×641247886080² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (641247886087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56062122 + ... + 56073558.

Almost surely, 2^641247886080 is an apocalyptic number.

641247886080 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 641247886080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152504592512).

641247886080 is an abundant number, since it is smaller than the sum of its proper divisors (1663761298944).

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

641247886080 is a wasteful number, since it uses less digits than its factorization.

641247886080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11652 (or 11635 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 641247886080 in words is "six hundred forty-one billion, two hundred forty-seven million, eight hundred eighty-six thousand, eighty".