4704084460800 has 540 divisors, whose sum is σ = 17407440706656. Its totient is φ = 1253391667200.

The previous prime is 4704084460799. The next prime is 4704084460813. The reversal of 4704084460800 is 80644804074.

4704084460800 is a `hidden beast` number, since 4 + 70 + 40 + 8 + 4 + 460 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×4704084460800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 793667437 + ... + 793673363.

Almost surely, 2^{4704084460800} is an apocalyptic number.

4704084460800 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 4704084460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8703720353328).

4704084460800 is an abundant number, since it is smaller than the sum of its proper divisors (12703356245856).

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

4704084460800 is a wasteful number, since it uses less digits than its factorization.

4704084460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7496 (or 7468 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 4704084460800 in words is "four trillion, seven hundred four billion, eighty-four million, four hundred sixty thousand, eight hundred".