6643468540800 has 3072 divisors, whose sum is σ = 31318795468800. Its totient is φ = 1337720832000.

The previous prime is 6643468540781. The next prime is 6643468540823. The reversal of 6643468540800 is 80458643466.

6643468540800 is a `hidden beast` number, since 6 + 6 + 4 + 34 + 68 + 540 + 8 + 0 + 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 383 ways as a sum of consecutive naturals, for example, 23642236660 + ... + 23642236940.

It is an arithmetic number, because the mean of its divisors is an integer number (10194920400).

Almost surely, 2^{6643468540800} is an apocalyptic number.

6643468540800 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 6643468540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15659397734400).

6643468540800 is an abundant number, since it is smaller than the sum of its proper divisors (24675326928000).

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

6643468540800 is a wasteful number, since it uses less digits than its factorization.

6643468540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 6643468540800 in words is "six trillion, six hundred forty-three billion, four hundred sixty-eight million, five hundred forty thousand, eight hundred".