6365506394400 has 288 divisors, whose sum is σ = 20858088746880. Its totient is φ = 1686160465920.

The previous prime is 6365506394383. The next prime is 6365506394459. The reversal of 6365506394400 is 44936055636.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305891196 + ... + 305912004.

It is an arithmetic number, because the mean of its divisors is an integer number (72423919260).

Almost surely, 2^{6365506394400} is an apocalyptic number.

6365506394400 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 6365506394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10429044373440).

6365506394400 is an abundant number, since it is smaller than the sum of its proper divisors (14492582352480).

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

6365506394400 is a wasteful number, since it uses less digits than its factorization.

6365506394400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21676 (or 21663 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 51.

The spelling of 6365506394400 in words is "six trillion, three hundred sixty-five billion, five hundred six million, three hundred ninety-four thousand, four hundred".