14672067840 has 432 divisors, whose sum is σ = 53917351488. Its totient is φ = 3818078208.

The previous prime is 14672067799. The next prime is 14672067871. The reversal of 14672067840 is 4876027641.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 13374172 + ... + 13375268.

It is an arithmetic number, because the mean of its divisors is an integer number (124808684).

Almost surely, 2^14672067840 is an apocalyptic number.

14672067840 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 14672067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26958675744).

14672067840 is an abundant number, since it is smaller than the sum of its proper divisors (39245283648).

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

14672067840 is an equidigital number, since it uses as much as digits as its factorization.

14672067840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 14672067840 in words is "fourteen billion, six hundred seventy-two million, sixty-seven thousand, eight hundred forty".