66375360 has 168 divisors, whose sum is σ = 240517680. Its totient is φ = 16754688.

The previous prime is 66375347. The next prime is 66375367. The reversal of 66375360 is 6357366.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66375367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54114 + ... + 55326.

Almost surely, 2^66375360 is an apocalyptic number.

66375360 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 66375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120258840).

66375360 is an abundant number, since it is smaller than the sum of its proper divisors (174142320).

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

66375360 is a wasteful number, since it uses less digits than its factorization.

66375360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 66375360 is about 8147.1074621610. The cubic root of 66375360 is about 404.8886753923. Note that the first 3 decimals are identical.

The spelling of 66375360 in words is "sixty-six million, three hundred seventy-five thousand, three hundred sixty".