264829691616 has 144 divisors (see below), whose sum is σ = 809102286720. Its totient is φ = 75625777920.

The previous prime is 264829691603. The next prime is 264829691617. The reversal of 264829691616 is 616196928462.

It is a super-2 number, since 2×264829691616² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 264829691616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264829691617) 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, 9577651 + ... + 9605261.

It is an arithmetic number, because the mean of its divisors is an integer number (5618765880).

Almost surely, 2^264829691616 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 264829691616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404551143360).

264829691616 is an abundant number, since it is smaller than the sum of its proper divisors (544272595104).

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

264829691616 is a wasteful number, since it uses less digits than its factorization.

264829691616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29677 (or 29662 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 60.

The spelling of 264829691616 in words is "two hundred sixty-four billion, eight hundred twenty-nine million, six hundred ninety-one thousand, six hundred sixteen".