641720247552 has 576 divisors, whose sum is σ = 2050556497920. Its totient is φ = 199702609920.

The previous prime is 641720247533. The next prime is 641720247559. The reversal of 641720247552 is 255742027146.

641720247552 is a `hidden beast` number, since 6 + 4 + 1 + 72 + 0 + 24 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×641720247552² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 641720247498 and 641720247507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641720247559) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1817904208 + ... + 1817904560.

It is an arithmetic number, because the mean of its divisors is an integer number (3559993920).

Almost surely, 2^641720247552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641720247552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025278248960).

641720247552 is an abundant number, since it is smaller than the sum of its proper divisors (1408836250368).

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

641720247552 is an equidigital number, since it uses as much as digits as its factorization.

641720247552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 641720247552 in words is "six hundred forty-one billion, seven hundred twenty million, two hundred forty-seven thousand, five hundred fifty-two".