12069677664 has 288 divisors, whose sum is σ = 38192394240. Its totient is φ = 3585254400.

The previous prime is 12069677623. The next prime is 12069677701. The reversal of 12069677664 is 46677696021.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12069677664.

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, 52705902 + ... + 52706130.

It is an arithmetic number, because the mean of its divisors is an integer number (132612480).

Almost surely, 2^12069677664 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 12069677664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19096197120).

12069677664 is an abundant number, since it is smaller than the sum of its proper divisors (26122716576).

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

12069677664 is a wasteful number, since it uses less digits than its factorization.

12069677664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 12069677664 in words is "twelve billion, sixty-nine million, six hundred seventy-seven thousand, six hundred sixty-four".