6198904800 has 864 divisors, whose sum is σ = 25796848896. Its totient is φ = 1385472000.

The previous prime is 6198904799. The next prime is 6198904807. The reversal of 6198904800 is 84098916.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6198904807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74685559 + ... + 74685641.

It is an arithmetic number, because the mean of its divisors is an integer number (29857464).

Almost surely, 2^6198904800 is an apocalyptic number.

6198904800 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 6198904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12898424448).

6198904800 is an abundant number, since it is smaller than the sum of its proper divisors (19597944096).

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

6198904800 is a wasteful number, since it uses less digits than its factorization.

6198904800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 168 counting only the distinct ones).

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

The square root of 6198904800 is about 78733.1239060156. The cubic root of 6198904800 is about 1836.9823725921.

The spelling of 6198904800 in words is "six billion, one hundred ninety-eight million, nine hundred four thousand, eight hundred".