13630921920 has 672 divisors, whose sum is σ = 61043880960. Its totient is φ = 2831431680.

The previous prime is 13630921919. The next prime is 13630921921. The reversal of 13630921920 is 2912903631.

It is a happy number.

13630921920 is a `hidden beast` number, since 1 + 3 + 630 + 9 + 2 + 19 + 2 + 0 = 666.

13630921920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13630921919) and next prime (13630921921).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (13630921921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4655497 + ... + 4658423.

Almost surely, 2^13630921920 is an apocalyptic number.

13630921920 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 13630921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30521940480).

13630921920 is an abundant number, since it is smaller than the sum of its proper divisors (47412959040).

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

13630921920 is a wasteful number, since it uses less digits than its factorization.

13630921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 13630921920 in words is "thirteen billion, six hundred thirty million, nine hundred twenty-one thousand, nine hundred twenty".