7983510912 has 192 divisors, whose sum is σ = 24809672160. Its totient is φ = 2449612800.

The previous prime is 7983510911. The next prime is 7983510917. The reversal of 7983510912 is 2190153897.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7983510911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9000133 + ... + 9001019.

Almost surely, 2^7983510912 is an apocalyptic number.

7983510912 is a gapful number since it is divisible by the number (72) 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 7983510912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12404836080).

7983510912 is an abundant number, since it is smaller than the sum of its proper divisors (16826161248).

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

7983510912 is a wasteful number, since it uses less digits than its factorization.

7983510912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 7983510912 is about 89350.4947496095. The cubic root of 7983510912 is about 1998.6249641882.

It can be divided in two parts, 7983 and 510912, that multiplied together give a square (4078610496 = 63864²).

The spelling of 7983510912 in words is "seven billion, nine hundred eighty-three million, five hundred ten thousand, nine hundred twelve".