13468770720 has 384 divisors, whose sum is σ = 48581890560. Its totient is φ = 3527193600.

The previous prime is 13468770719. The next prime is 13468770737. The reversal of 13468770720 is 2707786431.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 21344805 + ... + 21345435.

It is an arithmetic number, because the mean of its divisors is an integer number (126515340).

Almost surely, 2^13468770720 is an apocalyptic number.

13468770720 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 13468770720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24290945280).

13468770720 is an abundant number, since it is smaller than the sum of its proper divisors (35113119840).

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

13468770720 is an frugal number, since it uses more digits than its factorization.

13468770720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 13468770720 in words is "thirteen billion, four hundred sixty-eight million, seven hundred seventy thousand, seven hundred twenty".