66773744064 has 224 divisors, whose sum is σ = 207583918080. Its totient is φ = 21013862400.

The previous prime is 66773743997. The next prime is 66773744111. The reversal of 66773744064 is 46044737766.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 66773744064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2181087 + ... + 2211489.

It is an arithmetic number, because the mean of its divisors is an integer number (926713920).

Almost surely, 2^66773744064 is an apocalyptic number.

66773744064 is a gapful number since it is divisible by the number (64) 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 66773744064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103791959040).

66773744064 is an abundant number, since it is smaller than the sum of its proper divisors (140810174016).

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

66773744064 is a wasteful number, since it uses less digits than its factorization.

66773744064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30496 (or 30480 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 66773744064 in words is "sixty-six billion, seven hundred seventy-three million, seven hundred forty-four thousand, sixty-four".