641885025600 has 3024 divisors, whose sum is σ = 3136699238400. Its totient is φ = 122903101440.

The previous prime is 641885025599. The next prime is 641885025601. The reversal of 641885025600 is 6520588146.

641885025600 is a `hidden beast` number, since 6 + 4 + 1 + 8 + 85 + 0 + 2 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (641885025599) and next prime (641885025601).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641885025601) 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 431 ways as a sum of consecutive naturals, for example, 5054212737 + ... + 5054212863.

Almost surely, 2^641885025600 is an apocalyptic number.

641885025600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641885025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568349619200).

641885025600 is an abundant number, since it is smaller than the sum of its proper divisors (2494814212800).

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

641885025600 is a wasteful number, since it uses less digits than its factorization.

641885025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 641885025600 in words is "six hundred forty-one billion, eight hundred eighty-five million, twenty-five thousand, six hundred".