2764664672 has 144 divisors (see below), whose sum is σ = 6988660560. Its totient is φ = 1064448000.

The previous prime is 2764664663. The next prime is 2764664677.

2764664672 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2764664672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2764664677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1534172 + ... + 1535972.

It is an arithmetic number, because the mean of its divisors is an integer number (48532365).

Almost surely, 2^2764664672 is an apocalyptic number.

2764664672 is a gapful number since it is divisible by the number (22) 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 2764664672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494330280).

2764664672 is an abundant number, since it is smaller than the sum of its proper divisors (4223995888).

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

2764664672 is a wasteful number, since it uses less digits than its factorization.

2764664672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1910 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 50.

The square root of 2764664672 is about 52580.0786610290. The cubic root of 2764664672 is about 1403.5056145778.

The spelling of 2764664672 in words is "two billion, seven hundred sixty-four million, six hundred sixty-four thousand, six hundred seventy-two".