7666874332416 has 720 divisors, whose sum is σ = 25273860497424. Its totient is φ = 2297047154688.

The previous prime is 7666874332361. The next prime is 7666874332423. The reversal of 7666874332416 is 6142334786667.

It can be written as a sum of positive squares in 8 ways, for example, as 129082118400 + 7537792214016 = 359280^2 + 2745504^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1957331290 + ... + 1957335206.

Almost surely, 2^{7666874332416} 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 7666874332416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12636930248712).

7666874332416 is an abundant number, since it is smaller than the sum of its proper divisors (17606986165008).

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

7666874332416 is a wasteful number, since it uses less digits than its factorization.

7666874332416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4148 (or 4125 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 63.

The spelling of 7666874332416 in words is "seven trillion, six hundred sixty-six billion, eight hundred seventy-four million, three hundred thirty-two thousand, four hundred sixteen".