7933471948800 has 816 divisors, whose sum is σ = 30685293952000. Its totient is φ = 2004033208320.

The previous prime is 7933471948799. The next prime is 7933471948841. The reversal of 7933471948800 is 88491743397.

7933471948800 is a `hidden beast` number, since 79 + 3 + 3 + 471 + 94 + 8 + 8 + 0 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 840494481 + ... + 840503919.

Almost surely, 2^{7933471948800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7933471948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15342646976000).

7933471948800 is an abundant number, since it is smaller than the sum of its proper divisors (22751822003200).

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

7933471948800 is an equidigital number, since it uses as much as digits as its factorization.

7933471948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9509 (or 9468 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 7933471948800 in words is "seven trillion, nine hundred thirty-three billion, four hundred seventy-one million, nine hundred forty-eight thousand, eight hundred".