2769072768 has 768 divisors, whose sum is σ = 10998374400. Its totient is φ = 646963200.

The previous prime is 2769072707. The next prime is 2769072791. The reversal of 2769072768 is 8672709672.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 52246630 + ... + 52246682.

It is an arithmetic number, because the mean of its divisors is an integer number (14320800).

Almost surely, 2^2769072768 is an apocalyptic number.

2769072768 is a gapful number since it is divisible by the number (28) 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 2769072768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499187200).

2769072768 is an abundant number, since it is smaller than the sum of its proper divisors (8229301632).

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

2769072768 is a wasteful number, since it uses less digits than its factorization.

2769072768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 2769072768 is about 52621.9798943369. The cubic root of 2769072768 is about 1404.2511543294.

The spelling of 2769072768 in words is "two billion, seven hundred sixty-nine million, seventy-two thousand, seven hundred sixty-eight".