14664365760 has 448 divisors, whose sum is σ = 53459481600. Its totient is φ = 3371089920.

The previous prime is 14664365747. The next prime is 14664365761. The reversal of 14664365760 is 6756346641.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (14664365761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42018066 + ... + 42018414.

It is an arithmetic number, because the mean of its divisors is an integer number (119329200).

Almost surely, 2^14664365760 is an apocalyptic number.

14664365760 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 14664365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26729740800).

14664365760 is an abundant number, since it is smaller than the sum of its proper divisors (38795115840).

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

14664365760 is a wasteful number, since it uses less digits than its factorization.

14664365760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 14664365760 in words is "fourteen billion, six hundred sixty-four million, three hundred sixty-five thousand, seven hundred sixty".