66799440 has 180 divisors, whose sum is σ = 237684564. Its totient is φ = 16809984.

The previous prime is 66799417. The next prime is 66799457. The reversal of 66799440 is 4499766.

It can be written as a sum of positive squares in 2 ways, for example, as 49956624 + 16842816 = 7068^2 + 4104^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 259792 + ... + 260048.

Almost surely, 2^66799440 is an apocalyptic number.

66799440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66799440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118842282).

66799440 is an abundant number, since it is smaller than the sum of its proper divisors (170885124).

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

66799440 is a wasteful number, since it uses less digits than its factorization.

66799440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 286 counting only the distinct ones).

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

The square root of 66799440 is about 8173.0924379943. The cubic root of 66799440 is about 405.7491392772.

The spelling of 66799440 in words is "sixty-six million, seven hundred ninety-nine thousand, four hundred forty".