13690616800 has 288 divisors, whose sum is σ = 41757327360. Its totient is φ = 4274380800.

The previous prime is 13690616777. The next prime is 13690616833. The reversal of 13690616800 is 861609631.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2948881 + ... + 2953519.

It is an arithmetic number, because the mean of its divisors is an integer number (144990720).

Almost surely, 2^13690616800 is an apocalyptic number.

13690616800 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 13690616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20878663680).

13690616800 is an abundant number, since it is smaller than the sum of its proper divisors (28066710560).

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

13690616800 is a wasteful number, since it uses less digits than its factorization.

13690616800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4714 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 13690616800 in words is "thirteen billion, six hundred ninety million, six hundred sixteen thousand, eight hundred".