13616733420 has 288 divisors, whose sum is σ = 45350323200. Its totient is φ = 3420071424.

The previous prime is 13616733413. The next prime is 13616733461. The reversal of 13616733420 is 2433761631.

13616733420 is a `hidden beast` number, since 1 + 3 + 616 + 7 + 3 + 34 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22068952 + ... + 22069568.

It is an arithmetic number, because the mean of its divisors is an integer number (157466400).

Almost surely, 2^13616733420 is an apocalyptic number.

13616733420 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 13616733420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22675161600).

13616733420 is an abundant number, since it is smaller than the sum of its proper divisors (31733589780).

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

13616733420 is a wasteful number, since it uses less digits than its factorization.

13616733420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 13616733420 in words is "thirteen billion, six hundred sixteen million, seven hundred thirty-three thousand, four hundred twenty".