766713600000 has 1728 divisors, whose sum is σ = 3143990959200. Its totient is φ = 185794560000.

The previous prime is 766713599969. The next prime is 766713600013. The reversal of 766713600000 is 6317667.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26438399986 + ... + 26438400014.

Almost surely, 2^766713600000 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 766713600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571995479600).

766713600000 is an abundant number, since it is smaller than the sum of its proper divisors (2377277359200).

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

766713600000 is an frugal number, since it uses more digits than its factorization.

766713600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

Adding to 766713600000 its reverse (6317667), we get a palindrome (766719917667).

The spelling of 766713600000 in words is "seven hundred sixty-six billion, seven hundred thirteen million, six hundred thousand".