66768750 has 72 divisors (see below), whose sum is σ = 180972792. Its totient is φ = 17790000.

The previous prime is 66768739. The next prime is 66768763. The reversal of 66768750 is 5786766.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 66768696 and 66768705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55657 + ... + 56843.

It is an arithmetic number, because the mean of its divisors is an integer number (2513511).

Almost surely, 2^66768750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66768750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90486396).

66768750 is an abundant number, since it is smaller than the sum of its proper divisors (114204042).

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

66768750 is a wasteful number, since it uses less digits than its factorization.

66768750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 66768750 is about 8171.2147199789. The cubic root of 66768750 is about 405.6869913081.

The spelling of 66768750 in words is "sixty-six million, seven hundred sixty-eight thousand, seven hundred fifty".