14687809920 has 512 divisors, whose sum is σ = 61384089600. Its totient is φ = 3248087040.

The previous prime is 14687809919. The next prime is 14687809933. The reversal of 14687809920 is 2990878641.

14687809920 is a `hidden beast` number, since 1 + 468 + 78 + 0 + 99 + 20 = 666.

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 63 ways as a sum of consecutive naturals, for example, 3747802 + ... + 3751718.

It is an arithmetic number, because the mean of its divisors is an integer number (119890800).

Almost surely, 2^14687809920 is an apocalyptic number.

14687809920 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 14687809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30692044800).

14687809920 is an abundant number, since it is smaller than the sum of its proper divisors (46696279680).

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

14687809920 is a wasteful number, since it uses less digits than its factorization.

14687809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3983 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 14687809920 in words is "fourteen billion, six hundred eighty-seven million, eight hundred nine thousand, nine hundred twenty".