766634272844544 has 864 divisors, whose sum is σ = 2525667664665600. Its totient is φ = 221695058903040.

The previous prime is 766634272844519. The next prime is 766634272844549. The reversal of 766634272844544 is 445448272436667.

It is a happy number.

766634272844544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (766634272844549) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134238181849 + ... + 134238187559.

Almost surely, 2^{766634272844544} 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 766634272844544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262833832332800).

766634272844544 is an abundant number, since it is smaller than the sum of its proper divisors (1759033391821056).

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

766634272844544 is a wasteful number, since it uses less digits than its factorization.

766634272844544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7601 (or 7584 counting only the distinct ones).

The product of its digits is 5202247680, while the sum is 72.

The spelling of 766634272844544 in words is "seven hundred sixty-six trillion, six hundred thirty-four billion, two hundred seventy-two million, eight hundred forty-four thousand, five hundred forty-four".