7686140112 has 320 divisors, whose sum is σ = 26398310400. Its totient is φ = 2095303680.

The previous prime is 7686140089. The next prime is 7686140141. The reversal of 7686140112 is 2110416867.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5826589 + ... + 5827907.

It is an arithmetic number, because the mean of its divisors is an integer number (82494720).

Almost surely, 2^7686140112 is an apocalyptic number.

7686140112 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 7686140112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199155200).

7686140112 is an abundant number, since it is smaller than the sum of its proper divisors (18712170288).

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

7686140112 is a wasteful number, since it uses less digits than its factorization.

7686140112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7686140112 is about 87670.6342625625. The cubic root of 7686140112 is about 1973.4953117079.

Adding to 7686140112 its reverse (2110416867), we get a palindrome (9796556979).

The spelling of 7686140112 in words is "seven billion, six hundred eighty-six million, one hundred forty thousand, one hundred twelve".