6126904800 has 216 divisors, whose sum is σ = 22405894056. Its totient is φ = 1633789440.

The previous prime is 6126904789. The next prime is 6126904859. The reversal of 6126904800 is 84096216.

It is a tau number, because it is divible by the number of its divisors (216).

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 35 ways as a sum of consecutive naturals, for example, 178642 + ... + 210158.

It is an arithmetic number, because the mean of its divisors is an integer number (103730991).

Almost surely, 2^6126904800 is an apocalyptic number.

6126904800 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 6126904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11202947028).

6126904800 is an abundant number, since it is smaller than the sum of its proper divisors (16278989256).

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

6126904800 is a wasteful number, since it uses less digits than its factorization.

6126904800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31552 (or 31527 counting only the distinct ones).

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

The square root of 6126904800 is about 78274.5475873224. The cubic root of 6126904800 is about 1829.8425018982.

The spelling of 6126904800 in words is "six billion, one hundred twenty-six million, nine hundred four thousand, eight hundred".