76731481728 has 192 divisors, whose sum is σ = 248647276800. Its totient is φ = 22501785600.

The previous prime is 76731481721. The next prime is 76731481819. The reversal of 76731481728 is 82718413767.

76731481728 is a `hidden beast` number, since 7 + 67 + 31 + 481 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (76731481721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295168 + ... + 490496.

It is an arithmetic number, because the mean of its divisors is an integer number (1295037900).

Almost surely, 2^76731481728 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 76731481728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124323638400).

76731481728 is an abundant number, since it is smaller than the sum of its proper divisors (171915795072).

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

76731481728 is a wasteful number, since it uses less digits than its factorization.

76731481728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195391 (or 195376 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The spelling of 76731481728 in words is "seventy-six billion, seven hundred thirty-one million, four hundred eighty-one thousand, seven hundred twenty-eight".