7993216000 has 352 divisors, whose sum is σ = 24892568064. Its totient is φ = 2488320000.

The previous prime is 7993215961. The next prime is 7993216003. The reversal of 7993216000 is 6123997.

It is a tau number, because it is divible by the number of its divisors (352).

It is not an unprimeable number, because it can be changed into a prime (7993216003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9855595 + ... + 9856405.

Almost surely, 2^7993216000 is an apocalyptic number.

7993216000 is a gapful number since it is divisible by the number (70) 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 7993216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12446284032).

7993216000 is an abundant number, since it is smaller than the sum of its proper divisors (16899352064).

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

7993216000 is a wasteful number, since it uses less digits than its factorization.

7993216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 7993216000 is about 89404.7873438554. The cubic root of 7993216000 is about 1999.4345067905.

Adding to 7993216000 its reverse (6123997), we get a palindrome (7999339997).

The spelling of 7993216000 in words is "seven billion, nine hundred ninety-three million, two hundred sixteen thousand".