2769389778960 has 480 divisors, whose sum is σ = 10984348956672. Its totient is φ = 611897794560.

The previous prime is 2769389778949. The next prime is 2769389778973. The reversal of 2769389778960 is 698779839672.

2769389778960 is a `hidden beast` number, since 27 + 69 + 389 + 7 + 78 + 96 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2769389778960.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146387422 + ... + 146406338.

Almost surely, 2^{2769389778960} is an apocalyptic number.

2769389778960 is a gapful number since it is divisible by the number (20) 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 2769389778960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5492174478336).

2769389778960 is an abundant number, since it is smaller than the sum of its proper divisors (8214959177712).

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

2769389778960 is a wasteful number, since it uses less digits than its factorization.

2769389778960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19911 (or 19902 counting only the distinct ones).

The product of its (nonzero) digits is 3456649728, while the sum is 81.

The spelling of 2769389778960 in words is "two trillion, seven hundred sixty-nine billion, three hundred eighty-nine million, seven hundred seventy-eight thousand, nine hundred sixty".