66769164 has 288 divisors, whose sum is σ = 232888320. Its totient is φ = 16329600.

The previous prime is 66769163. The next prime is 66769189. The reversal of 66769164 is 46196766.

It is a happy number.

It is a super-2 number, since 2×66769164² = 8916242522517792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66769163) 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, 1804554 + ... + 1804590.

It is an arithmetic number, because the mean of its divisors is an integer number (808640).

Almost surely, 2^66769164 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 66769164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116444160).

66769164 is an abundant number, since it is smaller than the sum of its proper divisors (166119156).

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

66769164 is a wasteful number, since it uses less digits than its factorization.

66769164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 66769164 is about 8171.2400527704. The cubic root of 66769164 is about 405.6878297945.

The spelling of 66769164 in words is "sixty-six million, seven hundred sixty-nine thousand, one hundred sixty-four".