13624333420 has 96 divisors (see below), whose sum is σ = 31001080320. Its totient is φ = 5013550080.

The previous prime is 13624333391. The next prime is 13624333483. The reversal of 13624333420 is 2433342631.

It is a super-2 number, since 2×13624333420² (a number of 21 digits) contains 22 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, 1803892 + ... + 1811428.

It is an arithmetic number, because the mean of its divisors is an integer number (322927920).

Almost surely, 2^13624333420 is an apocalyptic number.

13624333420 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 13624333420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15500540160).

13624333420 is an abundant number, since it is smaller than the sum of its proper divisors (17376746900).

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

13624333420 is a wasteful number, since it uses less digits than its factorization.

13624333420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7703 (or 7701 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

The spelling of 13624333420 in words is "thirteen billion, six hundred twenty-four million, three hundred thirty-three thousand, four hundred twenty".