7975524816 has 320 divisors, whose sum is σ = 27782348800. Its totient is φ = 2139830784.

The previous prime is 7975524811. The next prime is 7975524829. The reversal of 7975524816 is 6184255797.

7975524816 is a `hidden beast` number, since 7 + 9 + 7 + 552 + 4 + 81 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7975524811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7296366 + ... + 7297458.

It is an arithmetic number, because the mean of its divisors is an integer number (86819840).

Almost surely, 2^7975524816 is an apocalyptic number.

7975524816 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 7975524816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13891174400).

7975524816 is an abundant number, since it is smaller than the sum of its proper divisors (19806823984).

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

7975524816 is a wasteful number, since it uses less digits than its factorization.

7975524816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1251 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The square root of 7975524816 is about 89305.7938545983. The cubic root of 7975524816 is about 1997.9583178095.

The spelling of 7975524816 in words is "seven billion, nine hundred seventy-five million, five hundred twenty-four thousand, eight hundred sixteen".