13640468000 has 96 divisors (see below), whose sum is σ = 33690187440. Its totient is φ = 5427609600.

The previous prime is 13640467999. The next prime is 13640468029. The reversal of 13640468000 is 86404631.

It can be written as a sum of positive squares in 8 ways, for example, as 187251856 + 13453216144 = 13684^2 + 115988^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 763166 + ... + 780834.

Almost surely, 2^13640468000 is an apocalyptic number.

13640468000 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 13640468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16845093720).

13640468000 is an abundant number, since it is smaller than the sum of its proper divisors (20049719440).

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

13640468000 is a wasteful number, since it uses less digits than its factorization.

13640468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17887 (or 17869 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 13640468000 in words is "thirteen billion, six hundred forty million, four hundred sixty-eight thousand".