6198206400 has 168 divisors, whose sum is σ = 22594915440. Its totient is φ = 1652843520.

The previous prime is 6198206393. The next prime is 6198206431. The reversal of 6198206400 is 46028916.

6198206400 is a `hidden beast` number, since 6 + 1 + 9 + 8 + 2 + 0 + 640 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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, 28539 + ... + 114938.

Almost surely, 2^6198206400 is an apocalyptic number.

6198206400 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 6198206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11297457720).

6198206400 is an abundant number, since it is smaller than the sum of its proper divisors (16396709040).

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

6198206400 is a wasteful number, since it uses less digits than its factorization.

6198206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143508 (or 143487 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6198206400 is about 78728.6885449008. The cubic root of 6198206400 is about 1836.9133820895.

The spelling of 6198206400 in words is "six billion, one hundred ninety-eight million, two hundred six thousand, four hundred".