6198681600 has 672 divisors, whose sum is σ = 24377904000. Its totient is φ = 1539440640.

The previous prime is 6198681583. The next prime is 6198681617. The reversal of 6198681600 is 61868916.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6198681583) and next prime (6198681617).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105062371 + ... + 105062429.

Almost surely, 2^6198681600 is an apocalyptic number.

6198681600 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 6198681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12188952000).

6198681600 is an abundant number, since it is smaller than the sum of its proper divisors (18179222400).

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

6198681600 is a wasteful number, since it uses less digits than its factorization.

6198681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 88 counting only the distinct ones).

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

The square root of 6198681600 is about 78731.7064466407. The cubic root of 6198681600 is about 1836.9603246444.

The spelling of 6198681600 in words is "six billion, one hundred ninety-eight million, six hundred eighty-one thousand, six hundred".