1367399427264 has 672 divisors, whose sum is σ = 4526315478720. Its totient is φ = 402351390720.

The previous prime is 1367399427241. The next prime is 1367399427337. The reversal of 1367399427264 is 4627249937631.

It is a happy number.

1367399427264 is a `hidden beast` number, since 1 + 3 + 67 + 3 + 99 + 427 + 2 + 64 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2094026362 + ... + 2094027014.

It is an arithmetic number, because the mean of its divisors is an integer number (6735588510).

Almost surely, 2^{1367399427264} 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 1367399427264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263157739360).

1367399427264 is an abundant number, since it is smaller than the sum of its proper divisors (3158916051456).

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

1367399427264 is a wasteful number, since it uses less digits than its factorization.

1367399427264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 799 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 63.

The spelling of 1367399427264 in words is "one trillion, three hundred sixty-seven billion, three hundred ninety-nine million, four hundred twenty-seven thousand, two hundred sixty-four".