14980256640 has 640 divisors, whose sum is σ = 57405110400. Its totient is φ = 3711578112.

The previous prime is 14980256611. The next prime is 14980256671. The reversal of 14980256640 is 4665208941.

14980256640 is a `hidden beast` number, since 1 + 4 + 9 + 80 + 2 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 65992207 + ... + 65992433.

It is an arithmetic number, because the mean of its divisors is an integer number (89695485).

Almost surely, 2^14980256640 is an apocalyptic number.

14980256640 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 14980256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28702555200).

14980256640 is an abundant number, since it is smaller than the sum of its proper divisors (42424853760).

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

14980256640 is a wasteful number, since it uses less digits than its factorization.

14980256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 14980256640 in words is "fourteen billion, nine hundred eighty million, two hundred fifty-six thousand, six hundred forty".