76724063136 has 480 divisors, whose sum is σ = 276418517760. Its totient is φ = 20397256704.

The previous prime is 76724063107. The next prime is 76724063161. The reversal of 76724063136 is 63136042767.

76724063136 is a `hidden beast` number, since 7 + 6 + 7 + 2 + 4 + 0 + 631 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 76724063091 and 76724063100.

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 79 ways as a sum of consecutive naturals, for example, 15438060 + ... + 15443028.

It is an arithmetic number, because the mean of its divisors is an integer number (575871912).

Almost surely, 2^76724063136 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 76724063136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138209258880).

76724063136 is an abundant number, since it is smaller than the sum of its proper divisors (199694454624).

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

76724063136 is a wasteful number, since it uses less digits than its factorization.

76724063136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 76724063136 in words is "seventy-six billion, seven hundred twenty-four million, sixty-three thousand, one hundred thirty-six".