7987333536 has 240 divisors, whose sum is σ = 28912270464. Its totient is φ = 2106487296.

The previous prime is 7987333531. The next prime is 7987333561. The reversal of 7987333536 is 6353337897.

7987333536 is a `hidden beast` number, since 7 + 9 + 8 + 73 + 33 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7987333531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 218941 + ... + 252803.

Almost surely, 2^7987333536 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 7987333536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14456135232).

7987333536 is an abundant number, since it is smaller than the sum of its proper divisors (20924936928).

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

7987333536 is a wasteful number, since it uses less digits than its factorization.

7987333536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33905 (or 33888 counting only the distinct ones).

The product of its digits is 8573040, while the sum is 54.

The square root of 7987333536 is about 89371.8833638410. The cubic root of 7987333536 is about 1998.9439037619.

The spelling of 7987333536 in words is "seven billion, nine hundred eighty-seven million, three hundred thirty-three thousand, five hundred thirty-six".