66414270720 has 432 divisors, whose sum is σ = 247630763520. Its totient is φ = 15125741568.

The previous prime is 66414270707. The next prime is 66414270731. The reversal of 66414270720 is 2707241466.

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 47 ways as a sum of consecutive naturals, for example, 76957009 + ... + 76957871.

It is an arithmetic number, because the mean of its divisors is an integer number (573219360).

Almost surely, 2^66414270720 is an apocalyptic number.

66414270720 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 66414270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123815381760).

66414270720 is an abundant number, since it is smaller than the sum of its proper divisors (181216492800).

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

66414270720 is a wasteful number, since it uses less digits than its factorization.

66414270720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 66414270720 in words is "sixty-six billion, four hundred fourteen million, two hundred seventy thousand, seven hundred twenty".