641870478900 has 432 divisors, whose sum is σ = 2435246800896. Its totient is φ = 143589905280.

The previous prime is 641870478883. The next prime is 641870478923. The reversal of 641870478900 is 9874078146.

It is a happy number.

641870478900 is a `hidden beast` number, since 6 + 4 + 1 + 87 + 0 + 478 + 90 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7954557 + ... + 8034843.

Almost surely, 2^641870478900 is an apocalyptic number.

641870478900 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 641870478900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217623400448).

641870478900 is an abundant number, since it is smaller than the sum of its proper divisors (1793376321996).

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

641870478900 is a wasteful number, since it uses less digits than its factorization.

641870478900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80370 (or 80351 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 641870478900 in words is "six hundred forty-one billion, eight hundred seventy million, four hundred seventy-eight thousand, nine hundred".