7996074048000 has 960 divisors, whose sum is σ = 29312628478848. Its totient is φ = 2094725529600.

The previous prime is 7996074047989. The next prime is 7996074048037. The reversal of 7996074048000 is 8404706997.

It is a happy number.

7996074048000 is a `hidden beast` number, since 7 + 9 + 96 + 0 + 74 + 0 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8443583527 + ... + 8443584473.

Almost surely, 2^{7996074048000} 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 7996074048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14656314239424).

7996074048000 is an abundant number, since it is smaller than the sum of its proper divisors (21316554430848).

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

7996074048000 is a wasteful number, since it uses less digits than its factorization.

7996074048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 7996074048000 in words is "seven trillion, nine hundred ninety-six billion, seventy-four million, forty-eight thousand".