66779592 has 64 divisors (see below), whose sum is σ = 182856960. Its totient is φ = 20155200.

The previous prime is 66779591. The next prime is 66779593. The reversal of 66779592 is 29597766.

It is an interprime number because it is at equal distance from previous prime (66779591) and next prime (66779593).

It is not an unprimeable number, because it can be changed into a prime (66779591) 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, 116667 + ... + 117237.

It is an arithmetic number, because the mean of its divisors is an integer number (2857140).

Almost surely, 2^66779592 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 66779592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91428480).

66779592 is an abundant number, since it is smaller than the sum of its proper divisors (116077368).

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

66779592 is a wasteful number, since it uses less digits than its factorization.

66779592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1030 counting only the distinct ones).

The product of its digits is 1428840, while the sum is 51.

The square root of 66779592 is about 8171.8781195023. The cubic root of 66779592 is about 405.7089487873.

The spelling of 66779592 in words is "sixty-six million, seven hundred seventy-nine thousand, five hundred ninety-two".