7983360000 has 1200 divisors, whose sum is σ = 37150233120. Its totient is φ = 1658880000.

The previous prime is 7983359983. The next prime is 7983360001. The reversal of 7983360000 is 633897.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7983360001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 725759995 + ... + 725760005.

Almost surely, 2^7983360000 is an apocalyptic number.

7983360000 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 7983360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18575116560).

7983360000 is an abundant number, since it is smaller than the sum of its proper divisors (29166873120).

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

7983360000 is an equidigital number, since it uses as much as digits as its factorization.

7983360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 7983360000 is about 89349.6502511342. The cubic root of 7983360000 is about 1998.6123707986.

Adding to 7983360000 its reverse (633897), we get a palindrome (7983993897).

The spelling of 7983360000 in words is "seven billion, nine hundred eighty-three million, three hundred sixty thousand".