13367678272 has 84 divisors (see below), whose sum is σ = 30414009276. Its totient is φ = 5806694400.

The previous prime is 13367678251. The next prime is 13367678273. The reversal of 13367678272 is 27287676331.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 719526976 + 12648151296 = 26824^2 + 112464^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13367678273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147522 + ... + 220222.

It is an arithmetic number, because the mean of its divisors is an integer number (362071539).

Almost surely, 2^13367678272 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 13367678272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15207004638).

13367678272 is an abundant number, since it is smaller than the sum of its proper divisors (17046331004).

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

13367678272 is a wasteful number, since it uses less digits than its factorization.

13367678272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72756 (or 72733 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 52.

The spelling of 13367678272 in words is "thirteen billion, three hundred sixty-seven million, six hundred seventy-eight thousand, two hundred seventy-two".