641542597920 has 288 divisors, whose sum is σ = 2611995724800. Its totient is φ = 146638259712.

The previous prime is 641542597919. The next prime is 641542597937. The reversal of 641542597920 is 29795245146.

It is a happy number.

641542597920 is a `hidden beast` number, since 6 + 4 + 1 + 5 + 42 + 597 + 9 + 2 + 0 = 666.

641542597920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1303680 + ... + 1727039.

It is an arithmetic number, because the mean of its divisors is an integer number (9069429600).

Almost surely, 2^641542597920 is an apocalyptic number.

641542597920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

641542597920 is an abundant number, since it is smaller than the sum of its proper divisors (1970453126880).

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

641542597920 is a wasteful number, since it uses less digits than its factorization.

641542597920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030757 (or 3030736 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 641542597920 in words is "six hundred forty-one billion, five hundred forty-two million, five hundred ninety-seven thousand, nine hundred twenty".