641264225424 has 320 divisors, whose sum is σ = 1796667505920. Its totient is φ = 196734320640.

The previous prime is 641264225423. The next prime is 641264225453. The reversal of 641264225424 is 424522462146.

It is a super-2 number, since 2×641264225424² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (641264225423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343472139 + ... + 343474005.

It is an arithmetic number, because the mean of its divisors is an integer number (5614585956).

Almost surely, 2^641264225424 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 641264225424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898333752960).

641264225424 is an abundant number, since it is smaller than the sum of its proper divisors (1155403280496).

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

641264225424 is a wasteful number, since it uses less digits than its factorization.

641264225424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2092 counting only the distinct ones).

The product of its digits is 737280, while the sum is 42.

The spelling of 641264225424 in words is "six hundred forty-one billion, two hundred sixty-four million, two hundred twenty-five thousand, four hundred twenty-four".