2768679648 has 432 divisors, whose sum is σ = 9861336576. Its totient is φ = 720276480.

The previous prime is 2768679593. The next prime is 2768679691. The reversal of 2768679648 is 8469768672.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38995453 + ... + 38995523.

It is an arithmetic number, because the mean of its divisors is an integer number (22827168).

Almost surely, 2^2768679648 is an apocalyptic number.

2768679648 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 2768679648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930668288).

2768679648 is an abundant number, since it is smaller than the sum of its proper divisors (7092656928).

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

2768679648 is a wasteful number, since it uses less digits than its factorization.

2768679648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 135 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The square root of 2768679648 is about 52618.2444404980. The cubic root of 2768679648 is about 1404.1846982282.

The spelling of 2768679648 in words is "two billion, seven hundred sixty-eight million, six hundred seventy-nine thousand, six hundred forty-eight".