66718080 has 448 divisors, whose sum is σ = 280944720. Its totient is φ = 14929920.

The previous prime is 66718073. The next prime is 66718097. The reversal of 66718080 is 8081766.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5132154 + ... + 5132166.

Almost surely, 2^66718080 is an apocalyptic number.

66718080 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 66718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140472360).

66718080 is an abundant number, since it is smaller than the sum of its proper divisors (214226640).

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

66718080 is a wasteful number, since it uses less digits than its factorization.

66718080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 66718080 is about 8168.1136133137. The cubic root of 66718080 is about 405.5843416804.

The spelling of 66718080 in words is "sixty-six million, seven hundred eighteen thousand, eighty".