641517382800 has 540 divisors, whose sum is σ = 2577523777920. Its totient is φ = 144740943360.

The previous prime is 641517382787. The next prime is 641517382819. The reversal of 641517382800 is 8283715146.

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

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 107 ways as a sum of consecutive naturals, for example, 157271161 + ... + 157275239.

Almost surely, 2^641517382800 is an apocalyptic number.

641517382800 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 641517382800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288761888960).

641517382800 is an abundant number, since it is smaller than the sum of its proper divisors (1936006395120).

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

641517382800 is a wasteful number, since it uses less digits than its factorization.

641517382800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268 (or 4175 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 641517382800 in words is "six hundred forty-one billion, five hundred seventeen million, three hundred eighty-two thousand, eight hundred".