66468493728 has 864 divisors, whose sum is σ = 249977145600. Its totient is φ = 17283248640.

The previous prime is 66468493727. The next prime is 66468493769. The reversal of 66468493728 is 82739486466.

66468493728 is a `hidden beast` number, since 6 + 64 + 68 + 493 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (83607552) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (66468493727) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 936175933 + ... + 936176003.

It is an arithmetic number, because the mean of its divisors is an integer number (289325400).

Almost surely, 2^66468493728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66468493728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124988572800).

66468493728 is an abundant number, since it is smaller than the sum of its proper divisors (183508651872).

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

66468493728 is an frugal number, since it uses more digits than its factorization.

66468493728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 96 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 66468493728 in words is "sixty-six billion, four hundred sixty-eight million, four hundred ninety-three thousand, seven hundred twenty-eight".