13847552640 has 640 divisors, whose sum is σ = 55183550400. Its totient is φ = 3288563712.

The previous prime is 13847552627. The next prime is 13847552651. The reversal of 13847552640 is 4625574831.

13847552640 is a `hidden beast` number, since 1 + 3 + 84 + 7 + 5 + 526 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 79 ways as a sum of consecutive naturals, for example, 16743907 + ... + 16744733.

Almost surely, 2^13847552640 is an apocalyptic number.

13847552640 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 13847552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27591775200).

13847552640 is an abundant number, since it is smaller than the sum of its proper divisors (41335997760).

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

13847552640 is a wasteful number, since it uses less digits than its factorization.

13847552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 13847552640 in words is "thirteen billion, eight hundred forty-seven million, five hundred fifty-two thousand, six hundred forty".