6408865474800 has 960 divisors, whose sum is σ = 23076103987200. Its totient is φ = 1513296691200.

The previous prime is 6408865474789. The next prime is 6408865474807. The reversal of 6408865474800 is 84745688046.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6408865474807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5895919857 + ... + 5895920943.

It is an arithmetic number, because the mean of its divisors is an integer number (24037608320).

Almost surely, 2^{6408865474800} is an apocalyptic number.

6408865474800 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 6408865474800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11538051993600).

6408865474800 is an abundant number, since it is smaller than the sum of its proper divisors (16667238512400).

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

6408865474800 is a wasteful number, since it uses less digits than its factorization.

6408865474800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 60.

The spelling of 6408865474800 in words is "six trillion, four hundred eight billion, eight hundred sixty-five million, four hundred seventy-four thousand, eight hundred".