641323002705 has 288 divisors, whose sum is σ = 1363118625792. Its totient is φ = 256337706240.

The previous prime is 641323002641. The next prime is 641323002713. The reversal of 641323002705 is 507200323146.

It is not a de Polignac number, because 641323002705 - 2⁶ = 641323002641 is a prime.

It is a super-2 number, since 2×641323002705² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 287 ways as a sum of consecutive naturals, for example, 256220484 + ... + 256222986.

It is an arithmetic number, because the mean of its divisors is an integer number (4733050784).

Almost surely, 2^641323002705 is an apocalyptic number.

It is an amenable number.

641323002705 is an abundant number, since it is smaller than the sum of its proper divisors (721795623087).

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

641323002705 is a wasteful number, since it uses less digits than its factorization.

641323002705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 641323002705 in words is "six hundred forty-one billion, three hundred twenty-three million, two thousand, seven hundred five".