641929891680 has 1152 divisors, whose sum is σ = 2810039371776. Its totient is φ = 129591705600.

The previous prime is 641929891679. The next prime is 641929891699. The reversal of 641929891680 is 86198929146.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 574690482 + ... + 574691598.

It is an arithmetic number, because the mean of its divisors is an integer number (2439270288).

Almost surely, 2^641929891680 is an apocalyptic number.

641929891680 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 641929891680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405019685888).

641929891680 is an abundant number, since it is smaller than the sum of its proper divisors (2168109480096).

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

641929891680 is a wasteful number, since it uses less digits than its factorization.

641929891680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 641929891680 in words is "six hundred forty-one billion, nine hundred twenty-nine million, eight hundred ninety-one thousand, six hundred eighty".