641332612800 has 1008 divisors, whose sum is σ = 2589074002944. Its totient is φ = 149160960000.

The previous prime is 641332612793. The next prime is 641332612813. The reversal of 641332612800 is 8216233146.

641332612800 is a `hidden beast` number, since 6 + 4 + 1 + 3 + 32 + 612 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×641332612800² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 643261902 + ... + 643262898.

Almost surely, 2^641332612800 is an apocalyptic number.

641332612800 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 641332612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294537001472).

641332612800 is an abundant number, since it is smaller than the sum of its proper divisors (1947741390144).

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

641332612800 is a wasteful number, since it uses less digits than its factorization.

641332612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 641332612800 its reverse (8216233146), we get a palindrome (649548845946).

The spelling of 641332612800 in words is "six hundred forty-one billion, three hundred thirty-two million, six hundred twelve thousand, eight hundred".