8199466400 has 144 divisors (see below), whose sum is σ = 20637429120. Its totient is φ = 3178828800.

The previous prime is 8199466399. The next prime is 8199466433. The reversal of 8199466400 is 46649918.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12994085 + ... + 12994715.

It is an arithmetic number, because the mean of its divisors is an integer number (143315480).

Almost surely, 2^8199466400 is an apocalyptic number.

8199466400 is a gapful number since it is divisible by the number (80) 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 8199466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10318714560).

8199466400 is an abundant number, since it is smaller than the sum of its proper divisors (12437962720).

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

8199466400 is a wasteful number, since it uses less digits than its factorization.

8199466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The square root of 8199466400 is about 90550.9050203254. The cubic root of 8199466400 is about 2016.4859336093.

The spelling of 8199466400 in words is "eight billion, one hundred ninety-nine million, four hundred sixty-six thousand, four hundred".