13068024840 has 256 divisors, whose sum is σ = 47494137600. Its totient is φ = 3216464640.

The previous prime is 13068024829. The next prime is 13068024841. The reversal of 13068024840 is 4842086031.

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

It is a junction number, because it is equal to n+sod(n) for n = 13068024795 and 13068024804.

It is not an unprimeable number, because it can be changed into a prime (13068024841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1131495 + ... + 1142985.

It is an arithmetic number, because the mean of its divisors is an integer number (185523975).

Almost surely, 2^13068024840 is an apocalyptic number.

13068024840 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 13068024840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23747068800).

13068024840 is an abundant number, since it is smaller than the sum of its proper divisors (34426112760).

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

13068024840 is a wasteful number, since it uses less digits than its factorization.

13068024840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11536 (or 11514 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 13068024840 in words is "thirteen billion, sixty-eight million, twenty-four thousand, eight hundred forty".