13993424640 has 864 divisors, whose sum is σ = 55685133504. Its totient is φ = 3220439040.

The previous prime is 13993424639. The next prime is 13993424647. The reversal of 13993424640 is 4642439931.

13993424640 is a `hidden beast` number, since 139 + 93 + 424 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13993424647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 264026854 + ... + 264026906.

It is an arithmetic number, because the mean of its divisors is an integer number (64450386).

Almost surely, 2^13993424640 is an apocalyptic number.

13993424640 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 13993424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27842566752).

13993424640 is an abundant number, since it is smaller than the sum of its proper divisors (41691708864).

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

13993424640 is a wasteful number, since it uses less digits than its factorization.

13993424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 13993424640 in words is "thirteen billion, nine hundred ninety-three million, four hundred twenty-four thousand, six hundred forty".