7516686672 has 240 divisors, whose sum is σ = 25209100800. Its totient is φ = 2063888640.

The previous prime is 7516686647. The next prime is 7516686679. The reversal of 7516686672 is 2766866157.

7516686672 is a `hidden beast` number, since 7 + 516 + 68 + 6 + 67 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7516686679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686779 + ... + 697637.

It is an arithmetic number, because the mean of its divisors is an integer number (105037920).

Almost surely, 2^7516686672 is an apocalyptic number.

7516686672 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 7516686672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12604550400).

7516686672 is an abundant number, since it is smaller than the sum of its proper divisors (17692414128).

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

7516686672 is a wasteful number, since it uses less digits than its factorization.

7516686672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10926 (or 10917 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 7516686672 is about 86698.8273969147. The cubic root of 7516686672 is about 1958.8844366789.

The spelling of 7516686672 in words is "seven billion, five hundred sixteen million, six hundred eighty-six thousand, six hundred seventy-two".