13376273904 has 400 divisors, whose sum is σ = 47273402880. Its totient is φ = 3566384640.

The previous prime is 13376273899. The next prime is 13376273909. The reversal of 13376273904 is 40937267331.

It is a happy number.

13376273904 is a `hidden beast` number, since 1 + 3 + 376 + 273 + 9 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13376273899) and next prime (13376273909).

It is a self number, because there is not a number n which added to its sum of digits gives 13376273904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13376273909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12237582 + ... + 12238674.

Almost surely, 2^13376273904 is an apocalyptic number.

13376273904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13376273904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23636701440).

13376273904 is an abundant number, since it is smaller than the sum of its proper divisors (33897128976).

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

13376273904 is a wasteful number, since it uses less digits than its factorization.

13376273904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 13376273904 in words is "thirteen billion, three hundred seventy-six million, two hundred seventy-three thousand, nine hundred four".