7686543216 has 80 divisors (see below), whose sum is σ = 21679326720. Its totient is φ = 2327400960.

The previous prime is 7686543211. The next prime is 7686543223. The reversal of 7686543216 is 6123456867.

It is a super-2 number, since 2×7686543216² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7686543211) 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 15 ways as a sum of consecutive naturals, for example, 751545 + ... + 761703.

It is an arithmetic number, because the mean of its divisors is an integer number (270991584).

Almost surely, 2^7686543216 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 7686543216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10839663360).

7686543216 is an abundant number, since it is smaller than the sum of its proper divisors (13992783504).

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

7686543216 is a wasteful number, since it uses less digits than its factorization.

7686543216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11614 (or 11608 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 7686543216 is about 87672.9332006179. The cubic root of 7686543216 is about 1973.5298114670.

The spelling of 7686543216 in words is "seven billion, six hundred eighty-six million, five hundred forty-three thousand, two hundred sixteen".