66758320 has 80 divisors (see below), whose sum is σ = 165846528. Its totient is φ = 24903680.

The previous prime is 66758299. The next prime is 66758347. The reversal of 66758320 is 2385766.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 66758320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259632 + ... + 259888.

Almost surely, 2^66758320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66758320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82923264).

66758320 is an abundant number, since it is smaller than the sum of its proper divisors (99088208).

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

66758320 is a wasteful number, since it uses less digits than its factorization.

66758320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 66758320 is about 8170.5764790497. The cubic root of 66758320 is about 405.6658659780.

It can be divided in two parts, 6 and 6758320, that added together give a triangular number (6758326 = T₃₆₇₆).

The spelling of 66758320 in words is "sixty-six million, seven hundred fifty-eight thousand, three hundred twenty".