641926995840 has 1536 divisors, whose sum is σ = 2761966771200. Its totient is φ = 140747341824.

The previous prime is 641926995817. The next prime is 641926995847. The reversal of 641926995840 is 48599629146.

641926995840 is a `hidden beast` number, since 6 + 41 + 9 + 2 + 6 + 9 + 9 + 584 + 0 = 666.

641926995840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641926995847) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 653027989 + ... + 653028971.

It is an arithmetic number, because the mean of its divisors is an integer number (1798155450).

Almost surely, 2^641926995840 is an apocalyptic number.

641926995840 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 641926995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380983385600).

641926995840 is an abundant number, since it is smaller than the sum of its proper divisors (2120039775360).

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

641926995840 is a wasteful number, since it uses less digits than its factorization.

641926995840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 641926995840 in words is "six hundred forty-one billion, nine hundred twenty-six million, nine hundred ninety-five thousand, eight hundred forty".