13434664320 has 1024 divisors, whose sum is σ = 62042112000. Its totient is φ = 2664161280.

The previous prime is 13434664303. The next prime is 13434664357. The reversal of 13434664320 is 2346643431.

13434664320 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 4 + 6 + 643 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30602661 + ... + 30603099.

It is an arithmetic number, because the mean of its divisors is an integer number (60588000).

Almost surely, 2^13434664320 is an apocalyptic number.

13434664320 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 13434664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31021056000).

13434664320 is an abundant number, since it is smaller than the sum of its proper divisors (48607447680).

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

13434664320 is a wasteful number, since it uses less digits than its factorization.

13434664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 13434664320 in words is "thirteen billion, four hundred thirty-four million, six hundred sixty-four thousand, three hundred twenty".