66805767 has 96 divisors (see below), whose sum is σ = 127296000. Its totient is φ = 33530112.

The previous prime is 66805747. The next prime is 66805819. The reversal of 66805767 is 76750866.

It is not a de Polignac number, because 66805767 - 2¹⁰ = 66804743 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66805727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 997068 + ... + 997134.

It is an arithmetic number, because the mean of its divisors is an integer number (1326000).

Almost surely, 2^66805767 is an apocalyptic number.

66805767 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

66805767 is a deficient number, since it is larger than the sum of its proper divisors (60490233).

66805767 is a wasteful number, since it uses less digits than its factorization.

66805767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 66805767 is about 8173.4794916241. The cubic root of 66805767 is about 405.7619492337.

The spelling of 66805767 in words is "sixty-six million, eight hundred five thousand, seven hundred sixty-seven".