641333796480 has 768 divisors, whose sum is σ = 2542128170400. Its totient is φ = 147588120576.

The previous prime is 641333796437. The next prime is 641333796491. The reversal of 641333796480 is 84697333146.

It is a happy number.

641333796480 is a `hidden beast` number, since 6 + 4 + 133 + 379 + 64 + 80 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 25159035456 + 616174761024 = 158616^2 + 784968^2 .

It is a super-2 number, since 2×641333796480² (a number of 24 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 199853116 + ... + 199856324.

Almost surely, 2^641333796480 is an apocalyptic number.

641333796480 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 641333796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271064085200).

641333796480 is an abundant number, since it is smaller than the sum of its proper divisors (1900794373920).

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

641333796480 is a wasteful number, since it uses less digits than its factorization.

641333796480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 641333796480 in words is "six hundred forty-one billion, three hundred thirty-three million, seven hundred ninety-six thousand, four hundred eighty".