77216647716 has 144 divisors (see below), whose sum is σ = 222716317824. Its totient is φ = 22346247168.

The previous prime is 77216647649. The next prime is 77216647721. The reversal of 77216647716 is 61774661277.

It is a happy number.

77216647716 is a `hidden beast` number, since 7 + 7 + 2 + 166 + 477 + 1 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 17843145 + ... + 17847471.

It is an arithmetic number, because the mean of its divisors is an integer number (1546641096).

Almost surely, 2^77216647716 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 77216647716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111358158912).

77216647716 is an abundant number, since it is smaller than the sum of its proper divisors (145499670108).

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

77216647716 is a wasteful number, since it uses less digits than its factorization.

77216647716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610 (or 6605 counting only the distinct ones).

The product of its digits is 4148928, while the sum is 54.

The spelling of 77216647716 in words is "seventy-seven billion, two hundred sixteen million, six hundred forty-seven thousand, seven hundred sixteen".