7975989504 has 648 divisors, whose sum is σ = 28789592832. Its totient is φ = 2113413120.

The previous prime is 7975989503. The next prime is 7975989529. The reversal of 7975989504 is 4059895797.

7975989504 is a `hidden beast` number, since 79 + 7 + 59 + 8 + 9 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (7975989503) 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 71 ways as a sum of consecutive naturals, for example, 150490342 + ... + 150490394.

It is an arithmetic number, because the mean of its divisors is an integer number (44428384).

Almost surely, 2^7975989504 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 7975989504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394796416).

7975989504 is an abundant number, since it is smaller than the sum of its proper divisors (20813603328).

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

7975989504 is a wasteful number, since it uses less digits than its factorization.

7975989504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The square root of 7975989504 is about 89308.3954844112. The cubic root of 7975989504 is about 1997.9971202392.

The spelling of 7975989504 in words is "seven billion, nine hundred seventy-five million, nine hundred eighty-nine thousand, five hundred four".