14678737920 has 1056 divisors, whose sum is σ = 66535032960. Its totient is φ = 3034644480.

The previous prime is 14678737919. The next prime is 14678737937. The reversal of 14678737920 is 2973787641.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74511262 + ... + 74511458.

It is an arithmetic number, because the mean of its divisors is an integer number (63006660).

Almost surely, 2^14678737920 is an apocalyptic number.

14678737920 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 14678737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33267516480).

14678737920 is an abundant number, since it is smaller than the sum of its proper divisors (51856295040).

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

14678737920 is a wasteful number, since it uses less digits than its factorization.

14678737920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 14678737920 in words is "fourteen billion, six hundred seventy-eight million, seven hundred thirty-seven thousand, nine hundred twenty".