66429788792466 has 48 divisors (see below), whose sum is σ = 151071449054400. Its totient is φ = 19436092848480.

The previous prime is 66429788792449. The next prime is 66429788792483.

66429788792466 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (66429788792449) and next prime (66429788792483).

It is a super-2 number, since 2×66429788792466² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1577583886 + ... + 1577625993.

It is an arithmetic number, because the mean of its divisors is an integer number (3147321855300).

Almost surely, 2^{66429788792466} is an apocalyptic number.

66429788792466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66429788792466 is an abundant number, since it is smaller than the sum of its proper divisors (84641660261934).

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

66429788792466 is a wasteful number, since it uses less digits than its factorization.

66429788792466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155209935 (or 3155209924 counting only the distinct ones).

The product of its digits is 21069103104, while the sum is 84.

The spelling of 66429788792466 in words is "sixty-six trillion, four hundred twenty-nine billion, seven hundred eighty-eight million, seven hundred ninety-two thousand, four hundred sixty-six".