4797331660800 has 2016 divisors, whose sum is σ = 20870606195712. Its totient is φ = 1069539655680.

The previous prime is 4797331660769. The next prime is 4797331660801. The reversal of 4797331660800 is 80661337974.

4797331660800 is a `hidden beast` number, since 479 + 7 + 3 + 3 + 166 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4797331660801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16373145454 + ... + 16373145746.

It is an arithmetic number, because the mean of its divisors is an integer number (10352483232).

Almost surely, 2^{4797331660800} is an apocalyptic number.

4797331660800 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 4797331660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10435303097856).

4797331660800 is an abundant number, since it is smaller than the sum of its proper divisors (16073274534912).

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

4797331660800 is an equidigital number, since it uses as much as digits as its factorization.

4797331660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 4797331660800 in words is "four trillion, seven hundred ninety-seven billion, three hundred thirty-one million, six hundred sixty thousand, eight hundred".