13640447520 has 288 divisors, whose sum is σ = 55536969600. Its totient is φ = 3117768192.

The previous prime is 13640447507. The next prime is 13640447531. The reversal of 13640447520 is 2574404631.

13640447520 is a `hidden beast` number, since 1 + 3 + 640 + 4 + 4 + 7 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179461 + ... + 243899.

It is an arithmetic number, because the mean of its divisors is an integer number (192836700).

Almost surely, 2^13640447520 is an apocalyptic number.

13640447520 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 13640447520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27768484800).

13640447520 is an abundant number, since it is smaller than the sum of its proper divisors (41896522080).

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

13640447520 is a wasteful number, since it uses less digits than its factorization.

13640447520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64477 (or 64456 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 13640447520 in words is "thirteen billion, six hundred forty million, four hundred forty-seven thousand, five hundred twenty".