766551144060 has 288 divisors, whose sum is σ = 2605227835392. Its totient is φ = 181162759680.

The previous prime is 766551143947. The next prime is 766551144061. The reversal of 766551144060 is 60441155667.

766551144060 is a `hidden beast` number, since 76 + 6 + 5 + 511 + 4 + 4 + 0 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 766551143997 and 766551144015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766551144061) 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 95 ways as a sum of consecutive naturals, for example, 9170977 + ... + 9254183.

It is an arithmetic number, because the mean of its divisors is an integer number (9045929984).

Almost surely, 2^766551144060 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 766551144060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302613917696).

766551144060 is an abundant number, since it is smaller than the sum of its proper divisors (1838676691332).

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

766551144060 is a wasteful number, since it uses less digits than its factorization.

766551144060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83393 (or 83388 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 766551144060 in words is "seven hundred sixty-six billion, five hundred fifty-one million, one hundred forty-four thousand, sixty".