76281481728 has 400 divisors, whose sum is σ = 242585962344. Its totient is φ = 23781703680.

The previous prime is 76281481687. The next prime is 76281481733. The reversal of 76281481728 is 82718418267.

76281481728 is a `hidden beast` number, since 7 + 62 + 81 + 481 + 7 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70738977024 + 5542504704 = 265968^2 + 74448^2 .

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181190958 + ... + 181191378.

Almost surely, 2^76281481728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76281481728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121292981172).

76281481728 is an abundant number, since it is smaller than the sum of its proper divisors (166304480616).

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

76281481728 is a wasteful number, since it uses less digits than its factorization.

76281481728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 700 counting only the distinct ones).

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

It can be divided in two parts, 76281 and 481728, that added together give a square (558009 = 747²).

The spelling of 76281481728 in words is "seventy-six billion, two hundred eighty-one million, four hundred eighty-one thousand, seven hundred twenty-eight".