450076706766 has 256 divisors, whose sum is σ = 1109805649920. Its totient is φ = 134608158720.

The previous prime is 450076706759. The next prime is 450076706767. The reversal of 450076706766 is 667607670054.

450076706766 is a `hidden beast` number, since 4 + 500 + 7 + 6 + 70 + 6 + 7 + 66 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450076706767) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 465435615 + ... + 465436581.

It is an arithmetic number, because the mean of its divisors is an integer number (4335178320).

Almost surely, 2^450076706766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450076706766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554902824960).

450076706766 is an abundant number, since it is smaller than the sum of its proper divisors (659728943154).

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

450076706766 is a wasteful number, since it uses less digits than its factorization.

450076706766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 450076706766 in words is "four hundred fifty billion, seventy-six million, seven hundred six thousand, seven hundred sixty-six".