13670200320 has 528 divisors, whose sum is σ = 52219919808. Its totient is φ = 3041525760.

The previous prime is 13670200289. The next prime is 13670200321. The reversal of 13670200320 is 2300207631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13670200321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30858019 + ... + 30858461.

Almost surely, 2^13670200320 is an apocalyptic number.

13670200320 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 13670200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26109959904).

13670200320 is an abundant number, since it is smaller than the sum of its proper divisors (38549719488).

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

13670200320 is a wasteful number, since it uses less digits than its factorization.

13670200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

Adding to 13670200320 its reverse (2300207631), we get a palindrome (15970407951).

The spelling of 13670200320 in words is "thirteen billion, six hundred seventy million, two hundred thousand, three hundred twenty".