14786772480 has 160 divisors (see below), whose sum is σ = 52524093600. Its totient is φ = 3943120896.

The previous prime is 14786772461. The next prime is 14786772541. The reversal of 14786772480 is 8427768741.

14786772480 is a `hidden beast` number, since 1 + 478 + 6 + 77 + 24 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

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 15 ways as a sum of consecutive naturals, for example, 37845 + ... + 176084.

It is an arithmetic number, because the mean of its divisors is an integer number (328275585).

Almost surely, 2^14786772480 is an apocalyptic number.

14786772480 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 14786772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26262046800).

14786772480 is an abundant number, since it is smaller than the sum of its proper divisors (37737321120).

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

14786772480 is an equidigital number, since it uses as much as digits as its factorization.

14786772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213961 (or 213939 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 14786772480 in words is "fourteen billion, seven hundred eighty-six million, seven hundred seventy-two thousand, four hundred eighty".