14640640000 has 520 divisors, whose sum is σ = 45036083840. Its totient is φ = 4644864000.

The previous prime is 14640639983. The next prime is 14640640009. The reversal of 14640640000 is 4604641.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14640640009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 340479979 + ... + 340480021.

Almost surely, 2^14640640000 is an apocalyptic number.

14640640000 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 14640640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22518041920).

14640640000 is an abundant number, since it is smaller than the sum of its proper divisors (30395443840).

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

14640640000 is an frugal number, since it uses more digits than its factorization.

14640640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 14640640000 in words is "fourteen billion, six hundred forty million, six hundred forty thousand".