13076726400 has 768 divisors, whose sum is σ = 52590384000. Its totient is φ = 3158507520.

The previous prime is 13076726393. The next prime is 13076726419. The reversal of 13076726400 is 462767031.

13076726400 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 6 + 7 + 2 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42595047 + ... + 42595353.

Almost surely, 2^13076726400 is an apocalyptic number.

13076726400 is a gapful number since it is divisible by the number (10) 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 13076726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26295192000).

13076726400 is an abundant number, since it is smaller than the sum of its proper divisors (39513657600).

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

13076726400 is a wasteful number, since it uses less digits than its factorization.

13076726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 13076726400 in words is "thirteen billion, seventy-six million, seven hundred twenty-six thousand, four hundred".