14672071680 has 704 divisors, whose sum is σ = 59425228800. Its totient is φ = 3010461696.

The previous prime is 14672071669. The next prime is 14672071691. The reversal of 14672071680 is 8617027641.

It is an interprime number because it is at equal distance from previous prime (14672071669) and next prime (14672071691).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42040146 + ... + 42040494.

Almost surely, 2^14672071680 is an apocalyptic number.

14672071680 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 14672071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29712614400).

14672071680 is an abundant number, since it is smaller than the sum of its proper divisors (44753157120).

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

14672071680 is a wasteful number, since it uses less digits than its factorization.

14672071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 14672071680 in words is "fourteen billion, six hundred seventy-two million, seventy-one thousand, six hundred eighty".