6109478092800 has 768 divisors, whose sum is σ = 22997217146400. Its totient is φ = 1589221785600.

The previous prime is 6109478092789. The next prime is 6109478092813. The reversal of 6109478092800 is 82908749016.

6109478092800 is a `hidden beast` number, since 6 + 1 + 0 + 9 + 478 + 0 + 92 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 906851032 + ... + 906857768.

Almost surely, 2^{6109478092800} is an apocalyptic number.

6109478092800 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 6109478092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11498608573200).

6109478092800 is an abundant number, since it is smaller than the sum of its proper divisors (16887739053600).

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

6109478092800 is an equidigital number, since it uses as much as digits as its factorization.

6109478092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6827 (or 6788 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 6109478092800 in words is "six trillion, one hundred nine billion, four hundred seventy-eight million, ninety-two thousand, eight hundred".