766664269056 has 504 divisors, whose sum is σ = 2643449145344. Its totient is φ = 217275125760.

The previous prime is 766664269039. The next prime is 766664269061. The reversal of 766664269056 is 650962466667.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×766664269056² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 766664268984 and 766664269002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 165906426 + ... + 165911046.

Almost surely, 2^766664269056 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 766664269056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321724572672).

766664269056 is an abundant number, since it is smaller than the sum of its proper divisors (1876784876288).

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

766664269056 is an equidigital number, since it uses as much as digits as its factorization.

766664269056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4789 (or 4760 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 766664269056 in words is "seven hundred sixty-six billion, six hundred sixty-four million, two hundred sixty-nine thousand, fifty-six".