77443562016 has 288 divisors, whose sum is σ = 244628512128. Its totient is φ = 23115079680.

The previous prime is 77443561997. The next prime is 77443562081. The reversal of 77443562016 is 61026534477.

77443562016 is a `hidden beast` number, since 7 + 7 + 4 + 4 + 3 + 5 + 620 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 22182031 + ... + 22185521.

It is an arithmetic number, because the mean of its divisors is an integer number (849404556).

Almost surely, 2^77443562016 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 77443562016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122314256064).

77443562016 is an abundant number, since it is smaller than the sum of its proper divisors (167184950112).

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

77443562016 is a wasteful number, since it uses less digits than its factorization.

77443562016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 77443562016 in words is "seventy-seven billion, four hundred forty-three million, five hundred sixty-two thousand, sixteen".