66868270920 has 384 divisors, whose sum is σ = 250122038400. Its totient is φ = 15322521600.

The previous prime is 66868270919. The next prime is 66868270961. The reversal of 66868270920 is 2907286866.

66868270920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 258589²-1.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49131040 + ... + 49132400.

It is an arithmetic number, because the mean of its divisors is an integer number (651359475).

Almost surely, 2^66868270920 is an apocalyptic number.

66868270920 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 66868270920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125061019200).

66868270920 is an abundant number, since it is smaller than the sum of its proper divisors (183253767480).

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

66868270920 is a wasteful number, since it uses less digits than its factorization.

66868270920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 66868270920 in words is "sixty-six billion, eight hundred sixty-eight million, two hundred seventy thousand, nine hundred twenty".