7668498434688 has 768 divisors, whose sum is σ = 28784346796800. Its totient is φ = 1957143306240.

The previous prime is 7668498434671. The next prime is 7668498434731. The reversal of 7668498434688 is 8864348948667.

7668498434688 is a `hidden beast` number, since 7 + 6 + 6 + 8 + 498 + 4 + 3 + 46 + 88 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 302217970 + ... + 302243342.

It is an arithmetic number, because the mean of its divisors is an integer number (37479618225).

Almost surely, 2^{7668498434688} is an apocalyptic number.

7668498434688 is a gapful number since it is divisible by the number (78) 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 7668498434688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14392173398400).

7668498434688 is an abundant number, since it is smaller than the sum of its proper divisors (21115848362112).

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

7668498434688 is a wasteful number, since it uses less digits than its factorization.

7668498434688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25478 (or 25429 counting only the distinct ones).

The product of its digits is 10701766656, while the sum is 81.

The spelling of 7668498434688 in words is "seven trillion, six hundred sixty-eight billion, four hundred ninety-eight million, four hundred thirty-four thousand, six hundred eighty-eight".