66042003456 has 816 divisors, whose sum is σ = 240457613760. Its totient is φ = 17836277760.

The previous prime is 66042003451. The next prime is 66042003457. The reversal of 66042003456 is 65430024066.

66042003456 is a `hidden beast` number, since 6 + 604 + 2 + 0 + 0 + 3 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66042003456.

It is not an unprimeable number, because it can be changed into a prime (66042003451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2277310450 + ... + 2277310478.

Almost surely, 2^66042003456 is an apocalyptic number.

66042003456 is a gapful number since it is divisible by the number (66) 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 66042003456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120228806880).

66042003456 is an abundant number, since it is smaller than the sum of its proper divisors (174415610304).

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

66042003456 is an equidigital number, since it uses as much as digits as its factorization.

66042003456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 66042003456 in words is "sixty-six billion, forty-two million, three thousand, four hundred fifty-six".