13464133280 has 384 divisors, whose sum is σ = 38187749376. Its totient is φ = 4438425600.

The previous prime is 13464133279. The next prime is 13464133307. The reversal of 13464133280 is 8233146431.

It is a self number, because there is not a number n which added to its sum of digits gives 13464133280.

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, 77827274 + ... + 77827446.

It is an arithmetic number, because the mean of its divisors is an integer number (99447264).

Almost surely, 2^13464133280 is an apocalyptic number.

13464133280 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 13464133280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19093874688).

13464133280 is an abundant number, since it is smaller than the sum of its proper divisors (24723616096).

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

13464133280 is a wasteful number, since it uses less digits than its factorization.

13464133280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 13464133280 in words is "thirteen billion, four hundred sixty-four million, one hundred thirty-three thousand, two hundred eighty".