14765984640 has 512 divisors, whose sum is σ = 57582835200. Its totient is φ = 3546316800.

The previous prime is 14765984633. The next prime is 14765984663. The reversal of 14765984640 is 4648956741.

14765984640 is a `hidden beast` number, since 1 + 4 + 7 + 6 + 598 + 4 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24900184 + ... + 24900776.

It is an arithmetic number, because the mean of its divisors is an integer number (112466475).

Almost surely, 2^14765984640 is an apocalyptic number.

14765984640 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 14765984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28791417600).

14765984640 is an abundant number, since it is smaller than the sum of its proper divisors (42816850560).

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

14765984640 is a wasteful number, since it uses less digits than its factorization.

14765984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 14765984640 in words is "fourteen billion, seven hundred sixty-five million, nine hundred eighty-four thousand, six hundred forty".