66705233280 has 256 divisors, whose sum is σ = 244496448000. Its totient is φ = 15152873472.

The previous prime is 66705233261. The next prime is 66705233303. The reversal of 66705233280 is 8233250766.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2175496 + ... + 2205944.

It is an arithmetic number, because the mean of its divisors is an integer number (955064250).

Almost surely, 2^66705233280 is an apocalyptic number.

66705233280 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 66705233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122248224000).

66705233280 is an abundant number, since it is smaller than the sum of its proper divisors (177791214720).

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

66705233280 is a wasteful number, since it uses less digits than its factorization.

66705233280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30641 (or 30629 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 66705233280 in words is "sixty-six billion, seven hundred five million, two hundred thirty-three thousand, two hundred eighty".