12772772064 has 288 divisors, whose sum is σ = 41973815520. Its totient is φ = 3793692672.

The previous prime is 12772772057. The next prime is 12772772071. The reversal of 12772772064 is 46027727721.

It is an interprime number because it is at equal distance from previous prime (12772772057) and next prime (12772772071).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2929374 + ... + 2933730.

It is an arithmetic number, because the mean of its divisors is an integer number (145742415).

Almost surely, 2^12772772064 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 12772772064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20986907760).

12772772064 is an abundant number, since it is smaller than the sum of its proper divisors (29201043456).

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

12772772064 is a wasteful number, since it uses less digits than its factorization.

12772772064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 12772772064 in words is "twelve billion, seven hundred seventy-two million, seven hundred seventy-two thousand, sixty-four".