766570861056 has 1280 divisors, whose sum is σ = 2922292961280. Its totient is φ = 172063457280.

The previous prime is 766570861051. The next prime is 766570861057. The reversal of 766570861056 is 650168075667.

It is a junction number, because it is equal to n+sod(n) for n = 766570860987 and 766570861005.

It is not an unprimeable number, because it can be changed into a prime (766570861051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1874256180 + ... + 1874256588.

It is an arithmetic number, because the mean of its divisors is an integer number (2283041376).

Almost surely, 2^766570861056 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 766570861056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461146480640).

766570861056 is an abundant number, since it is smaller than the sum of its proper divisors (2155722100224).

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

766570861056 is a wasteful number, since it uses less digits than its factorization.

766570861056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 766570861056 in words is "seven hundred sixty-six billion, five hundred seventy million, eight hundred sixty-one thousand, fifty-six".