66760320 has 256 divisors, whose sum is σ = 242352000. Its totient is φ = 15482880.

The previous prime is 66760307. The next prime is 66760327. The reversal of 66760320 is 2306766.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66760327) 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, 612426 + ... + 612534.

Almost surely, 2^66760320 is an apocalyptic number.

66760320 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 66760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121176000).

66760320 is an abundant number, since it is smaller than the sum of its proper divisors (175591680).

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

66760320 is a wasteful number, since it uses less digits than its factorization.

66760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 66760320 is about 8170.6988685179. The cubic root of 66760320 is about 405.6699170267.

The spelling of 66760320 in words is "sixty-six million, seven hundred sixty thousand, three hundred twenty".