641979682560 has 288 divisors, whose sum is σ = 2310231490560. Its totient is φ = 168782745600.

The previous prime is 641979682559. The next prime is 641979682609. The reversal of 641979682560 is 65286979146.

641979682560 is a `hidden beast` number, since 6 + 4 + 1 + 9 + 7 + 9 + 68 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2322945 + ... + 2584575.

It is an arithmetic number, because the mean of its divisors is an integer number (8021637120).

Almost surely, 2^641979682560 is an apocalyptic number.

641979682560 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 641979682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155115745280).

641979682560 is an abundant number, since it is smaller than the sum of its proper divisors (1668251808000).

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

641979682560 is a wasteful number, since it uses less digits than its factorization.

641979682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261732 (or 261712 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 641979682560 in words is "six hundred forty-one billion, nine hundred seventy-nine million, six hundred eighty-two thousand, five hundred sixty".