5641994668800 has 864 divisors, whose sum is σ = 22268246740992. Its totient is φ = 1231012823040.

The previous prime is 5641994668771. The next prime is 5641994668823. The reversal of 5641994668800 is 88664991465.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263547697 + ... + 263569103.

It is an arithmetic number, because the mean of its divisors is an integer number (25773433728).

Almost surely, 2^{5641994668800} is an apocalyptic number.

5641994668800 is a gapful number since it is divisible by the number (50) 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 5641994668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11134123370496).

5641994668800 is an abundant number, since it is smaller than the sum of its proper divisors (16626252072192).

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

5641994668800 is a wasteful number, since it uses less digits than its factorization.

5641994668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21533 (or 21514 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 66.

The spelling of 5641994668800 in words is "five trillion, six hundred forty-one billion, nine hundred ninety-four million, six hundred sixty-eight thousand, eight hundred".