641225553504 has 96 divisors (see below), whose sum is σ = 1714011425280. Its totient is φ = 209856460800.

The previous prime is 641225553469. The next prime is 641225553523. The reversal of 641225553504 is 405355522146.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×641225553504² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1447477 + ... + 1837835.

It is an arithmetic number, because the mean of its divisors is an integer number (17854285680).

Almost surely, 2^641225553504 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 641225553504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857005712640).

641225553504 is an abundant number, since it is smaller than the sum of its proper divisors (1072785871776).

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

641225553504 is a wasteful number, since it uses less digits than its factorization.

641225553504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390684 (or 390676 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 641225553504 in words is "six hundred forty-one billion, two hundred twenty-five million, five hundred fifty-three thousand, five hundred four".