2763168464 has 80 divisors (see below), whose sum is σ = 6247219200. Its totient is φ = 1159546752.

The previous prime is 2763168439. The next prime is 2763168467. The reversal of 2763168464 is 4648613672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2763168467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1122467 + ... + 1124925.

It is an arithmetic number, because the mean of its divisors is an integer number (78090240).

Almost surely, 2^2763168464 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 2763168464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123609600).

2763168464 is an abundant number, since it is smaller than the sum of its proper divisors (3484050736).

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

2763168464 is a wasteful number, since it uses less digits than its factorization.

2763168464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 2674 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 47.

The square root of 2763168464 is about 52565.8488374344. The cubic root of 2763168464 is about 1403.2523813032.

The spelling of 2763168464 in words is "two billion, seven hundred sixty-three million, one hundred sixty-eight thousand, four hundred sixty-four".