6564214100400 has 960 divisors, whose sum is σ = 24595065815040. Its totient is φ = 1484059852800.

The previous prime is 6564214100377. The next prime is 6564214100413. The reversal of 6564214100400 is 40014124656.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8236152802 + ... + 8236153598.

It is an arithmetic number, because the mean of its divisors is an integer number (25619860224).

Almost surely, 2^{6564214100400} is an apocalyptic number.

6564214100400 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 6564214100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12297532907520).

6564214100400 is an abundant number, since it is smaller than the sum of its proper divisors (18030851714640).

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

6564214100400 is a wasteful number, since it uses less digits than its factorization.

6564214100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 6564214100400 in words is "six trillion, five hundred sixty-four billion, two hundred fourteen million, one hundred thousand, four hundred".