14475464640 has 1680 divisors, whose sum is σ = 70819987392. Its totient is φ = 2723217408.

The previous prime is 14475464617. The next prime is 14475464669. The reversal of 14475464640 is 4646457441.

14475464640 is a `hidden beast` number, since 1 + 4 + 47 + 546 + 4 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 761866551 + ... + 761866569.

Almost surely, 2^14475464640 is an apocalyptic number.

14475464640 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 14475464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35409993696).

14475464640 is an abundant number, since it is smaller than the sum of its proper divisors (56344522752).

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

14475464640 is a wasteful number, since it uses less digits than its factorization.

14475464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 14475464640 in words is "fourteen billion, four hundred seventy-five million, four hundred sixty-four thousand, six hundred forty".