13466437920 has 672 divisors, whose sum is σ = 52473863232. Its totient is φ = 3244271616.

The previous prime is 13466437867. The next prime is 13466437961. The reversal of 13466437920 is 2973466431.

13466437920 is a `hidden beast` number, since 134 + 66 + 437 + 9 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 125854507 + ... + 125854613.

It is an arithmetic number, because the mean of its divisors is an integer number (78086106).

Almost surely, 2^13466437920 is an apocalyptic number.

13466437920 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 13466437920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26236931616).

13466437920 is an abundant number, since it is smaller than the sum of its proper divisors (39007425312).

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

13466437920 is a wasteful number, since it uses less digits than its factorization.

13466437920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 13466437920 in words is "thirteen billion, four hundred sixty-six million, four hundred thirty-seven thousand, nine hundred twenty".