14642478720 has 96 divisors (see below), whose sum is σ = 50562329220. Its totient is φ = 3904659456.

The previous prime is 14642478701. The next prime is 14642478731. The reversal of 14642478720 is 2787424641.

14642478720 is a `hidden beast` number, since 146 + 424 + 7 + 87 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13700234304 + 942244416 = 117048^2 + 30696^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1265289 + ... + 1276808.

Almost surely, 2^14642478720 is an apocalyptic number.

14642478720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14642478720 is an abundant number, since it is smaller than the sum of its proper divisors (35919850500).

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

14642478720 is a wasteful number, since it uses less digits than its factorization.

14642478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542122 (or 2542107 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 14642478720 in words is "fourteen billion, six hundred forty-two million, four hundred seventy-eight thousand, seven hundred twenty".