641881478700 has 360 divisors, whose sum is σ = 2594154630144. Its totient is φ = 133377840000.

The previous prime is 641881478657. The next prime is 641881478713. The reversal of 641881478700 is 7874188146.

641881478700 is a `hidden beast` number, since 6 + 418 + 8 + 147 + 87 + 0 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 109125 + ... + 1138275.

Almost surely, 2^641881478700 is an apocalyptic number.

641881478700 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 641881478700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297077315072).

641881478700 is an abundant number, since it is smaller than the sum of its proper divisors (1952273151444).

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

641881478700 is a wasteful number, since it uses less digits than its factorization.

641881478700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029195 (or 1029179 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 641881478700 in words is "six hundred forty-one billion, eight hundred eighty-one million, four hundred seventy-eight thousand, seven hundred".