756766140660 has 60 divisors (see below), whose sum is σ = 2374003416708. Its totient is φ = 201804303744.

The previous prime is 756766140649. The next prime is 756766140667. The reversal of 756766140660 is 66041667657.

It is a happy number.

756766140660 is a `hidden beast` number, since 7 + 56 + 76 + 61 + 406 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 381582940176 + 375183200484 = 617724^2 + 612522^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 756766140597 and 756766140606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756766140667) 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 19 ways as a sum of consecutive naturals, for example, 233568177 + ... + 233571416.

Almost surely, 2^756766140660 is an apocalyptic number.

It is an amenable number.

756766140660 is an abundant number, since it is smaller than the sum of its proper divisors (1617237276048).

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

756766140660 is a wasteful number, since it uses less digits than its factorization.

756766140660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467139614 (or 467139603 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 756766140660 in words is "seven hundred fifty-six billion, seven hundred sixty-six million, one hundred forty thousand, six hundred sixty".