766006415460 has 768 divisors, whose sum is σ = 2855817216000. Its totient is φ = 169016440320.

The previous prime is 766006415459. The next prime is 766006415479. The reversal of 766006415460 is 64514600667.

766006415460 is a `hidden beast` number, since 7 + 6 + 60 + 0 + 6 + 41 + 546 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1030963849 + ... + 1030964591.

It is an arithmetic number, because the mean of its divisors is an integer number (3718512000).

Almost surely, 2^766006415460 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 766006415460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427908608000).

766006415460 is an abundant number, since it is smaller than the sum of its proper divisors (2089810800540).

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

766006415460 is a wasteful number, since it uses less digits than its factorization.

766006415460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 766006415460 in words is "seven hundred sixty-six billion, six million, four hundred fifteen thousand, four hundred sixty".