7987658112 has 192 divisors, whose sum is σ = 26350272000. Its totient is φ = 2275126272.

The previous prime is 7987658111. The next prime is 7987658141. The reversal of 7987658112 is 2118567897.

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

It is a super-2 number, since 2×7987658112² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7987658111) 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 23 ways as a sum of consecutive naturals, for example, 2958139 + ... + 2960837.

It is an arithmetic number, because the mean of its divisors is an integer number (137241000).

Almost surely, 2^7987658112 is an apocalyptic number.

7987658112 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 7987658112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13175136000).

7987658112 is an abundant number, since it is smaller than the sum of its proper divisors (18362613888).

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

7987658112 is a wasteful number, since it uses less digits than its factorization.

7987658112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3078 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 54.

The square root of 7987658112 is about 89373.6992185061. The cubic root of 7987658112 is about 1998.9709799830.

The spelling of 7987658112 in words is "seven billion, nine hundred eighty-seven million, six hundred fifty-eight thousand, one hundred twelve".