7983536736 has 192 divisors, whose sum is σ = 26694904320. Its totient is φ = 2033786880.

The previous prime is 7983536723. The next prime is 7983536747. The reversal of 7983536736 is 6376353897.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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, 198666 + ... + 235446.

It is an arithmetic number, because the mean of its divisors is an integer number (139035960).

Almost surely, 2^7983536736 is an apocalyptic number.

7983536736 is a gapful number since it is divisible by the number (76) 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 7983536736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13347452160).

7983536736 is an abundant number, since it is smaller than the sum of its proper divisors (18711367584).

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

7983536736 is a wasteful number, since it uses less digits than its factorization.

7983536736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36837 (or 36829 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 57.

The square root of 7983536736 is about 89350.6392590450. The cubic root of 7983536736 is about 1998.6271191481.

The spelling of 7983536736 in words is "seven billion, nine hundred eighty-three million, five hundred thirty-six thousand, seven hundred thirty-six".