13267755664 has 40 divisors (see below), whose sum is σ = 26730666360. Its totient is φ = 6371893248.

The previous prime is 13267755647. The next prime is 13267755673. The reversal of 13267755664 is 46655776231.

It can be written as a sum of positive squares in 4 ways, for example, as 2241075600 + 11026680064 = 47340^2 + 105008^2 .

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15474 + ... + 163630.

It is an arithmetic number, because the mean of its divisors is an integer number (668266659).

Almost surely, 2^13267755664 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 13267755664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13365333180).

13267755664 is an abundant number, since it is smaller than the sum of its proper divisors (13462910696).

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

13267755664 is a wasteful number, since it uses less digits than its factorization.

13267755664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148387 (or 148381 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 52.

The spelling of 13267755664 in words is "thirteen billion, two hundred sixty-seven million, seven hundred fifty-five thousand, six hundred sixty-four".