6198465600 has 168 divisors, whose sum is σ = 22595860320. Its totient is φ = 1652912640.

The previous prime is 6198465583. The next prime is 6198465629. The reversal of 6198465600 is 65648916.

6198465600 is a `hidden beast` number, since 6 + 1 + 9 + 84 + 6 + 560 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28542 + ... + 114941.

Almost surely, 2^6198465600 is an apocalyptic number.

6198465600 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 6198465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11297930160).

6198465600 is an abundant number, since it is smaller than the sum of its proper divisors (16397394720).

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

6198465600 is a wasteful number, since it uses less digits than its factorization.

6198465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143514 (or 143493 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6198465600 is about 78730.3346874634. The cubic root of 6198465600 is about 1836.9389874169.

The spelling of 6198465600 in words is "six billion, one hundred ninety-eight million, four hundred sixty-five thousand, six hundred".