7991008000 has 288 divisors, whose sum is σ = 21045024000. Its totient is φ = 3019161600.

The previous prime is 7991007989. The next prime is 7991008073. The reversal of 7991008000 is 8001997.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73311946 + ... + 73312054.

It is an arithmetic number, because the mean of its divisors is an integer number (73073000).

Almost surely, 2^7991008000 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 7991008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10522512000).

7991008000 is an abundant number, since it is smaller than the sum of its proper divisors (13054016000).

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

7991008000 is a wasteful number, since it uses less digits than its factorization.

7991008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 34.

The square root of 7991008000 is about 89392.4381589405. The cubic root of 7991008000 is about 1999.2503857410.

Adding to 7991008000 its reverse (8001997), we get a palindrome (7999009997).

The spelling of 7991008000 in words is "seven billion, nine hundred ninety-one million, eight thousand".