766918336086 has 240 divisors, whose sum is σ = 2089307658240. Its totient is φ = 209254842720.

The previous prime is 766918336013. The next prime is 766918336091. The reversal of 766918336086 is 680633819667.

766918336086 is a `hidden beast` number, since 7 + 6 + 6 + 9 + 18 + 3 + 3 + 608 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 126155595 + ... + 126161673.

It is an arithmetic number, because the mean of its divisors is an integer number (8705448576).

Almost surely, 2^766918336086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766918336086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044653829120).

766918336086 is an abundant number, since it is smaller than the sum of its proper divisors (1322389322154).

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

766918336086 is a wasteful number, since it uses less digits than its factorization.

766918336086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6821 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 766918336086 in words is "seven hundred sixty-six billion, nine hundred eighteen million, three hundred thirty-six thousand, eighty-six".