7917828048000 has 3072 divisors, whose sum is σ = 34251381964800. Its totient is φ = 1734856704000.

The previous prime is 7917828047989. The next prime is 7917828048007. The reversal of 7917828048000 is 8408287197.

It is a happy number.

7917828048000 is a `hidden beast` number, since 7 + 9 + 1 + 7 + 82 + 80 + 480 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (7917828048007) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 47412143917 + ... + 47412144083.

It is an arithmetic number, because the mean of its divisors is an integer number (11149538400).

Almost surely, 2^{7917828048000} 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 7917828048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17125690982400).

7917828048000 is an abundant number, since it is smaller than the sum of its proper divisors (26333553916800).

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

7917828048000 is a wasteful number, since it uses less digits than its factorization.

7917828048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 7917828048000 in words is "seven trillion, nine hundred seventeen billion, eight hundred twenty-eight million, forty-eight thousand".