7766368128 has 320 divisors, whose sum is σ = 24725962800. Its totient is φ = 2411347968.

The previous prime is 7766368087. The next prime is 7766368153. The reversal of 7766368128 is 8218636677.

It is a Cunningham number, because it is equal to 88127²-1.

It is a super-2 number, since 2×7766368128² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24499426 + ... + 24499742.

Almost surely, 2^7766368128 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 7766368128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362981400).

7766368128 is an abundant number, since it is smaller than the sum of its proper divisors (16959594672).

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

7766368128 is a wasteful number, since it uses less digits than its factorization.

7766368128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 478 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 7766368128 is about 88126.9999943264. Note that the first 5 decimals coincide. The cubic root of 7766368128 is about 1980.3380139183.

The spelling of 7766368128 in words is "seven billion, seven hundred sixty-six million, three hundred sixty-eight thousand, one hundred twenty-eight".