66779376 has 80 divisors (see below), whose sum is σ = 186595200. Its totient is φ = 20507904.

The previous prime is 66779371. The next prime is 66779381. The reversal of 66779376 is 67397766.

It is an interprime number because it is at equal distance from previous prime (66779371) and next prime (66779381).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66779371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32755 + ... + 34733.

It is an arithmetic number, because the mean of its divisors is an integer number (2332440).

Almost surely, 2^66779376 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 66779376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93297600).

66779376 is an abundant number, since it is smaller than the sum of its proper divisors (119815824).

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

66779376 is a wasteful number, since it uses less digits than its factorization.

66779376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2040 counting only the distinct ones).

The product of its digits is 2000376, while the sum is 51.

The square root of 66779376 is about 8171.8649034354. The cubic root of 66779376 is about 405.7085113621.

The spelling of 66779376 in words is "sixty-six million, seven hundred seventy-nine thousand, three hundred seventy-six".