641706727868928 has 240 divisors, whose sum is σ = 1853882332061760. Its totient is φ = 213685995552768.

The previous prime is 641706727868893. The next prime is 641706727868963. The reversal of 641706727868928 is 829868727607146.

641706727868928 is a `hidden beast` number, since 6 + 417 + 0 + 6 + 7 + 27 + 86 + 89 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (641706727868893) and next prime (641706727868963).

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, 20302661701 + ... + 20302693307.

It is an arithmetic number, because the mean of its divisors is an integer number (7724509716924).

Almost surely, 2^{641706727868928} 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 641706727868928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926941166030880).

641706727868928 is an abundant number, since it is smaller than the sum of its proper divisors (1212175604192832).

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

641706727868928 is a wasteful number, since it uses less digits than its factorization.

641706727868928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35947 (or 35928 counting only the distinct ones).

The product of its (nonzero) digits is 5462360064, while the sum is 81.

The spelling of 641706727868928 in words is "six hundred forty-one trillion, seven hundred six billion, seven hundred twenty-seven million, eight hundred sixty-eight thousand, nine hundred twenty-eight".