13695064320 has 288 divisors, whose sum is σ = 50935433472. Its totient is φ = 3070918656.

The previous prime is 13695064307. The next prime is 13695064337. The reversal of 13695064320 is 2346059631.

It is a super-3 number, since 3×13695064320³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1419834 + ... + 1429446.

It is an arithmetic number, because the mean of its divisors is an integer number (176859144).

Almost surely, 2^13695064320 is an apocalyptic number.

13695064320 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 13695064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25467716736).

13695064320 is an abundant number, since it is smaller than the sum of its proper divisors (37240369152).

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

13695064320 is an equidigital number, since it uses as much as digits as its factorization.

13695064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9697 (or 9683 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 13695064320 in words is "thirteen billion, six hundred ninety-five million, sixty-four thousand, three hundred twenty".