2628785664 has 140 divisors (see below), whose sum is σ = 7876171116. Its totient is φ = 876137472.

The previous prime is 2628785639. The next prime is 2628785671. The reversal of 2628785664 is 4665878262.

2628785664 is a `hidden beast` number, since 2 + 6 + 2 + 8 + 78 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2628785664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 369727 + ... + 376769.

Almost surely, 2^2628785664 is an apocalyptic number.

2628785664 is a gapful number since it is divisible by the number (24) 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 2628785664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938085558).

2628785664 is an abundant number, since it is smaller than the sum of its proper divisors (5247385452).

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

2628785664 is an frugal number, since it uses more digits than its factorization.

2628785664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7079 (or 7048 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 2628785664 is about 51271.6848172556. The cubic root of 2628785664 is about 1380.1249036285.

The spelling of 2628785664 in words is "two billion, six hundred twenty-eight million, seven hundred eighty-five thousand, six hundred sixty-four".