76395437856 has 144 divisors (see below), whose sum is σ = 222112800000. Its totient is φ = 24896277504.

The previous prime is 76395437851. The next prime is 76395437873. The reversal of 76395437856 is 65873459367.

76395437856 is a `hidden beast` number, since 7 + 6 + 3 + 9 + 543 + 7 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 76395437793 and 76395437802.

It is not an unprimeable number, because it can be changed into a prime (76395437851) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15279645 + ... + 15284643.

It is an arithmetic number, because the mean of its divisors is an integer number (1542450000).

Almost surely, 2^76395437856 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 76395437856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111056400000).

76395437856 is an abundant number, since it is smaller than the sum of its proper divisors (145717362144).

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

76395437856 is a wasteful number, since it uses less digits than its factorization.

76395437856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6191 (or 6180 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 63.

The spelling of 76395437856 in words is "seventy-six billion, three hundred ninety-five million, four hundred thirty-seven thousand, eight hundred fifty-six".