13466894760 has 768 divisors, whose sum is σ = 54344908800. Its totient is φ = 2961100800.

The previous prime is 13466894731. The next prime is 13466894783. The reversal of 13466894760 is 6749866431.

13466894760 is a `hidden beast` number, since 1 + 3 + 466 + 89 + 47 + 60 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13466894697 and 13466894706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56346721 + ... + 56346959.

It is an arithmetic number, because the mean of its divisors is an integer number (70761600).

Almost surely, 2^13466894760 is an apocalyptic number.

13466894760 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 13466894760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27172454400).

13466894760 is an abundant number, since it is smaller than the sum of its proper divisors (40878014040).

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

13466894760 is a wasteful number, since it uses less digits than its factorization.

13466894760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 13466894760 in words is "thirteen billion, four hundred sixty-six million, eight hundred ninety-four thousand, seven hundred sixty".