4747409805600 has 4320 divisors, whose sum is σ = 23469850958400. Its totient is φ = 921773260800.

The previous prime is 4747409805533. The next prime is 4747409805623. The reversal of 4747409805600 is 65089047474.

4747409805600 is a `hidden beast` number, since 4 + 7 + 4 + 74 + 0 + 9 + 8 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 43554218346 + ... + 43554218454.

It is an arithmetic number, because the mean of its divisors is an integer number (5432835870).

Almost surely, 2^{4747409805600} is an apocalyptic number.

4747409805600 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 4747409805600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11734925479200).

4747409805600 is an abundant number, since it is smaller than the sum of its proper divisors (18722441152800).

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

4747409805600 is a wasteful number, since it uses less digits than its factorization.

4747409805600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 4747409805600 in words is "four trillion, seven hundred forty-seven billion, four hundred nine million, eight hundred five thousand, six hundred".