66242458128 has 640 divisors, whose sum is σ = 236967690240. Its totient is φ = 15418368000.

The previous prime is 66242458067. The next prime is 66242458129. The reversal of 66242458128 is 82185424266.

66242458128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (66242458129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138292993 + ... + 138293471.

It is an arithmetic number, because the mean of its divisors is an integer number (370262016).

Almost surely, 2^66242458128 is an apocalyptic number.

66242458128 is a gapful number since it is divisible by the number (68) 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 66242458128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118483845120).

66242458128 is an abundant number, since it is smaller than the sum of its proper divisors (170725232112).

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

66242458128 is a wasteful number, since it uses less digits than its factorization.

66242458128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 621 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 48.

The spelling of 66242458128 in words is "sixty-six billion, two hundred forty-two million, four hundred fifty-eight thousand, one hundred twenty-eight".