7993069920 has 288 divisors, whose sum is σ = 30320637984. Its totient is φ = 1900953600.

The previous prime is 7993069859. The next prime is 7993069927. The reversal of 7993069920 is 299603997.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7993069927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834760 + ... + 844280.

It is an arithmetic number, because the mean of its divisors is an integer number (105279993).

Almost surely, 2^7993069920 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 7993069920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15160318992).

7993069920 is an abundant number, since it is smaller than the sum of its proper divisors (22327568064).

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

7993069920 is a wasteful number, since it uses less digits than its factorization.

7993069920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9606 (or 9595 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The square root of 7993069920 is about 89403.9703816335. The cubic root of 7993069920 is about 1999.4223264961.

The spelling of 7993069920 in words is "seven billion, nine hundred ninety-three million, sixty-nine thousand, nine hundred twenty".