641677616640 has 240 divisors, whose sum is σ = 2237039472096. Its totient is φ = 169979904000.

The previous prime is 641677616623. The next prime is 641677616663. The reversal of 641677616640 is 46616776146.

641677616640 is a `hidden beast` number, since 6 + 4 + 16 + 7 + 7 + 616 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3386820 + ... + 3571260.

Almost surely, 2^641677616640 is an apocalyptic number.

641677616640 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 641677616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118519736048).

641677616640 is an abundant number, since it is smaller than the sum of its proper divisors (1595361855456).

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

641677616640 is a wasteful number, since it uses less digits than its factorization.

641677616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184621 (or 184602 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 641677616640 in words is "six hundred forty-one billion, six hundred seventy-seven million, six hundred sixteen thousand, six hundred forty".