6600099878400 has 960 divisors, whose sum is σ = 25317629568000. Its totient is φ = 1484555550720.

The previous prime is 6600099878381. The next prime is 6600099878401. The reversal of 6600099878400 is 48789900066.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×6600099878400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6600099878401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6291801076 + ... + 6291802124.

It is an arithmetic number, because the mean of its divisors is an integer number (26372530800).

Almost surely, 2^{6600099878400} is an apocalyptic number.

6600099878400 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 6600099878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12658814784000).

6600099878400 is an abundant number, since it is smaller than the sum of its proper divisors (18717529689600).

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

6600099878400 is a wasteful number, since it uses less digits than its factorization.

6600099878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 6600099878400 in words is "six trillion, six hundred billion, ninety-nine million, eight hundred seventy-eight thousand, four hundred".