641849320800 has 1728 divisors, whose sum is σ = 2702527027200. Its totient is φ = 142132838400.

The previous prime is 641849320789. The next prime is 641849320837. The reversal of 641849320800 is 8023948146.

It is a happy number.

641849320800 is a `hidden beast` number, since 64 + 1 + 8 + 493 + 20 + 80 + 0 = 666.

It is a super-2 number, since 2×641849320800² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2090714247 + ... + 2090714553.

It is an arithmetic number, because the mean of its divisors is an integer number (1563962400).

Almost surely, 2^641849320800 is an apocalyptic number.

641849320800 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 641849320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351263513600).

641849320800 is an abundant number, since it is smaller than the sum of its proper divisors (2060677706400).

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

641849320800 is a wasteful number, since it uses less digits than its factorization.

641849320800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 641849320800 in words is "six hundred forty-one billion, eight hundred forty-nine million, three hundred twenty thousand, eight hundred".