766610677728 has 576 divisors, whose sum is σ = 2726668707840. Its totient is φ = 208699545600.

The previous prime is 766610677727. The next prime is 766610677739. The reversal of 766610677728 is 827776016667.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766610677727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74633233 + ... + 74643503.

It is an arithmetic number, because the mean of its divisors is an integer number (4733799840).

Almost surely, 2^766610677728 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 766610677728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363334353920).

766610677728 is an abundant number, since it is smaller than the sum of its proper divisors (1960058030112).

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

766610677728 is a wasteful number, since it uses less digits than its factorization.

766610677728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10388 (or 10367 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 766610677728 in words is "seven hundred sixty-six billion, six hundred ten million, six hundred seventy-seven thousand, seven hundred twenty-eight".