77205422066688 has 220 divisors, whose sum is σ = 231337418909520. Its totient is φ = 25647299371008.

The previous prime is 77205422066683. The next prime is 77205422066737. The reversal of 77205422066688 is 88666022450277.

It is not an unprimeable number, because it can be changed into a prime (77205422066683) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 22714173 + ... + 25891011.

It is an arithmetic number, because the mean of its divisors is an integer number (1051533722316).

Almost surely, 2^{77205422066688} 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 77205422066688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115668709454760).

77205422066688 is an abundant number, since it is smaller than the sum of its proper divisors (154131996842832).

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

77205422066688 is a wasteful number, since it uses less digits than its factorization.

77205422066688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177164 (or 3177137 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 77205422066688 in words is "seventy-seven trillion, two hundred five billion, four hundred twenty-two million, sixty-six thousand, six hundred eighty-eight".