6163430400 has 528 divisors, whose sum is σ = 23342022880. Its totient is φ = 1592524800.

The previous prime is 6163430389. The next prime is 6163430419. The reversal of 6163430400 is 40343616.

6163430400 is a `hidden beast` number, since 616 + 3 + 4 + 3 + 0 + 40 + 0 = 666.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25574280 + ... + 25574520.

Almost surely, 2^6163430400 is an apocalyptic number.

6163430400 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 6163430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11671011440).

6163430400 is an abundant number, since it is smaller than the sum of its proper divisors (17178592480).

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

6163430400 is a wasteful number, since it uses less digits than its factorization.

6163430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 6163430400 is about 78507.5181113249. The cubic root of 6163430400 is about 1833.4715076758.

The spelling of 6163430400 in words is "six billion, one hundred sixty-three million, four hundred thirty thousand, four hundred".