4730948812800 has 864 divisors, whose sum is σ = 19867503398400. Its totient is φ = 1081218170880.

The previous prime is 4730948812771. The next prime is 4730948812819. The reversal of 4730948812800 is 82188490374.

It is a happy number.

4730948812800 is a `hidden beast` number, since 4 + 7 + 30 + 9 + 488 + 128 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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, 619311381 + ... + 619319019.

It is an arithmetic number, because the mean of its divisors is an integer number (22994795600).

Almost surely, 2^{4730948812800} is an apocalyptic number.

4730948812800 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 4730948812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9933751699200).

4730948812800 is an abundant number, since it is smaller than the sum of its proper divisors (15136554585600).

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

4730948812800 is an frugal number, since it uses more digits than its factorization.

4730948812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7699 (or 7656 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 4730948812800 in words is "four trillion, seven hundred thirty billion, nine hundred forty-eight million, eight hundred twelve thousand, eight hundred".