13640572000 has 144 divisors (see below), whose sum is σ = 36839982816. Its totient is φ = 4960032000.

The previous prime is 13640571977. The next prime is 13640572007. The reversal of 13640572000 is 27504631.

It is a self number, because there is not a number n which added to its sum of digits gives 13640572000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13640572007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469909 + ... + 498091.

It is an arithmetic number, because the mean of its divisors is an integer number (255833214).

Almost surely, 2^13640572000 is an apocalyptic number.

13640572000 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 13640572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18419991408).

13640572000 is an abundant number, since it is smaller than the sum of its proper divisors (23199410816).

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

13640572000 is a wasteful number, since it uses less digits than its factorization.

13640572000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28230 (or 28201 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 13640572000 in words is "thirteen billion, six hundred forty million, five hundred seventy-two thousand".