13229360640 has 200 divisors, whose sum is σ = 47384132400. Its totient is φ = 3527774208.

The previous prime is 13229360597. The next prime is 13229360663. The reversal of 13229360640 is 4606392231.

13229360640 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 9 + 3 + 6 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13229360595 and 13229360604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 175461 + ... + 239259.

It is an arithmetic number, because the mean of its divisors is an integer number (236920662).

Almost surely, 2^13229360640 is an apocalyptic number.

13229360640 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 13229360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23692066200).

13229360640 is an abundant number, since it is smaller than the sum of its proper divisors (34154771760).

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

13229360640 is an frugal number, since it uses more digits than its factorization.

13229360640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63834 (or 63809 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 13229360640 in words is "thirteen billion, two hundred twenty-nine million, three hundred sixty thousand, six hundred forty".