66777344 has 18 divisors (see below), whose sum is σ = 133294350. Its totient is φ = 33388544.

The previous prime is 66777331. The next prime is 66777353. The reversal of 66777344 is 44377766.

66777344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 52998400 + 13778944 = 7280^2 + 3712^2 .

It is a super-3 number, since 3×66777344³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66777295 and 66777304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130169 + ... + 130680.

Almost surely, 2^66777344 is an apocalyptic number.

66777344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66777344 is a deficient number, since it is larger than the sum of its proper divisors (66517006).

66777344 is an equidigital number, since it uses as much as digits as its factorization.

66777344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260865 (or 260851 counting only the distinct ones).

The product of its digits is 592704, while the sum is 44.

The square root of 66777344 is about 8171.7405734641. The cubic root of 66777344 is about 405.7043962789.

The spelling of 66777344 in words is "sixty-six million, seven hundred seventy-seven thousand, three hundred forty-four".