6199804800 has 1152 divisors, whose sum is σ = 28175696640. Its totient is φ = 1313832960.

The previous prime is 6199804781. The next prime is 6199804811. The reversal of 6199804800 is 84089916.

6199804800 is a `hidden beast` number, since 6 + 1 + 99 + 80 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92534367 + ... + 92534433.

It is an arithmetic number, because the mean of its divisors is an integer number (24458070).

Almost surely, 2^6199804800 is an apocalyptic number.

6199804800 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 6199804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14087848320).

6199804800 is an abundant number, since it is smaller than the sum of its proper divisors (21975891840).

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

6199804800 is a wasteful number, since it uses less digits than its factorization.

6199804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 6199804800 is about 78738.8392091222. The cubic root of 6199804800 is about 1837.0712702379.

The spelling of 6199804800 in words is "six billion, one hundred ninety-nine million, eight hundred four thousand, eight hundred".