13004379360 has 384 divisors, whose sum is σ = 52303104000. Its totient is φ = 2956124160.

The previous prime is 13004379299. The next prime is 13004379373. The reversal of 13004379360 is 6397340031.

13004379360 is a `hidden beast` number, since 130 + 0 + 437 + 93 + 6 + 0 = 666.

It is a super-2 number, since 2×13004379360² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6016680 + ... + 6018840.

It is an arithmetic number, because the mean of its divisors is an integer number (136206000).

Almost surely, 2^13004379360 is an apocalyptic number.

13004379360 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 13004379360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26151552000).

13004379360 is an abundant number, since it is smaller than the sum of its proper divisors (39298724640).

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

13004379360 is a wasteful number, since it uses less digits than its factorization.

13004379360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 13004379360 in words is "thirteen billion, four million, three hundred seventy-nine thousand, three hundred sixty".