77369756736064 has 189 divisors, whose sum is σ = 168441557893833. Its totient is φ = 35244267062784.

The previous prime is 77369756736037. The next prime is 77369756736089. The reversal of 77369756736064 is 46063765796377.

The square root of 77369756736064 is 8796008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11445230286400 + 65924526449664 = 3383080^2 + 8119392^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75927140547 + ... + 75927141565.

Almost surely, 2^{77369756736064} is an apocalyptic number.

77369756736064 is the 8796008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77369756736064

77369756736064 is an abundant number, since it is smaller than the sum of its proper divisors (91071801157769).

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

77369756736064 is an frugal number, since it uses more digits than its factorization.

77369756736064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 5040947520, while the sum is 76.

The spelling of 77369756736064 in words is "seventy-seven trillion, three hundred sixty-nine billion, seven hundred fifty-six million, seven hundred thirty-six thousand, sixty-four".