4707480724800 has 672 divisors, whose sum is σ = 18111686611200. Its totient is φ = 1069983129600.

The previous prime is 4707480724789. The next prime is 4707480724811. The reversal of 4707480724800 is 84270847074.

It is an interprime number because it is at equal distance from previous prime (4707480724789) and next prime (4707480724811).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 297990502 + ... + 298006298.

It is an arithmetic number, because the mean of its divisors is an integer number (26951914600).

Almost surely, 2^{4707480724800} is an apocalyptic number.

4707480724800 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 4707480724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9055843305600).

4707480724800 is an abundant number, since it is smaller than the sum of its proper divisors (13404205886400).

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

4707480724800 is a wasteful number, since it uses less digits than its factorization.

4707480724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16024 (or 15995 counting only the distinct ones).

The product of its (nonzero) digits is 2809856, while the sum is 51.

The spelling of 4707480724800 in words is "four trillion, seven hundred seven billion, four hundred eighty million, seven hundred twenty-four thousand, eight hundred".