42664866846624 has 432 divisors, whose sum is σ = 139325680526760. Its totient is φ = 12359305728000.

The previous prime is 42664866846611. The next prime is 42664866846713.

42664866846624 is a `hidden beast` number, since 4 + 2 + 6 + 6 + 4 + 86 + 68 + 466 + 24 = 666.

42664866846624 is nontrivially palindromic in base 10.

42664866846624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 39536680352400 + 3128186494224 = 6287820^2 + 1768668^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101860794 + ... + 102278790.

Almost surely, 2^{42664866846624} is an apocalyptic number.

42664866846624 is a gapful number since it is divisible by the number (44) 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 42664866846624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69662840263380).

42664866846624 is an abundant number, since it is smaller than the sum of its proper divisors (96660813680136).

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

42664866846624 is a wasteful number, since it uses less digits than its factorization.

42664866846624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418165 (or 418143 counting only the distinct ones).

The product of its digits is 3057647616, while the sum is 72.

The spelling of 42664866846624 in words is "forty-two trillion, six hundred sixty-four billion, eight hundred sixty-six million, eight hundred forty-six thousand, six hundred twenty-four".