18781476480 has 960 divisors, whose sum is σ = 77210317800. Its totient is φ = 4319723520.

The previous prime is 18781476479. The next prime is 18781476491. The reversal of 18781476480 is 8467418781.

18781476480 is a `hidden beast` number, since 1 + 87 + 8 + 14 + 76 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11961359424 + 6820117056 = 109368^2 + 82584^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 605854065 + ... + 605854095.

Almost surely, 2^18781476480 is an apocalyptic number.

18781476480 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 18781476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38605158900).

18781476480 is an abundant number, since it is smaller than the sum of its proper divisors (58428841320).

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

18781476480 is a wasteful number, since it uses less digits than its factorization.

18781476480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 18781476480 in words is "eighteen billion, seven hundred eighty-one million, four hundred seventy-six thousand, four hundred eighty".