4827306556800 has 1152 divisors, whose sum is σ = 21559932576000. Its totient is φ = 1001213706240.

The previous prime is 4827306556781. The next prime is 4827306556837. The reversal of 4827306556800 is 86556037284.

4827306556800 is a `hidden beast` number, since 4 + 8 + 2 + 7 + 3 + 0 + 6 + 556 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 154611591 + ... + 154642809.

It is an arithmetic number, because the mean of its divisors is an integer number (18715219250).

Almost surely, 2^{4827306556800} is an apocalyptic number.

4827306556800 is a gapful number since it is divisible by the number (40) 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 4827306556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10779966288000).

4827306556800 is an abundant number, since it is smaller than the sum of its proper divisors (16732626019200).

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

4827306556800 is a wasteful number, since it uses less digits than its factorization.

4827306556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31328 (or 31308 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 4827306556800 in words is "four trillion, eight hundred twenty-seven billion, three hundred six million, five hundred fifty-six thousand, eight hundred".