66577440 has 192 divisors, whose sum is σ = 228614400. Its totient is φ = 16220160.

The previous prime is 66577421. The next prime is 66577447. The reversal of 66577440 is 4477566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66577447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334461 + ... + 334659.

It is an arithmetic number, because the mean of its divisors is an integer number (1190700).

Almost surely, 2^66577440 is an apocalyptic number.

66577440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is a pronic number, being equal to 8159×8160.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66577440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114307200).

66577440 is an abundant number, since it is smaller than the sum of its proper divisors (162036960).

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

66577440 is a wasteful number, since it uses less digits than its factorization.

66577440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 66577440 is about 8159.4999846804. The cubic root of 66577440 is about 405.2991540701.

The spelling of 66577440 in words is "sixty-six million, five hundred seventy-seven thousand, four hundred forty".