4266666624 has 256 divisors, whose sum is σ = 12749477760. Its totient is φ = 1253376000.

The previous prime is 4266666583. The next prime is 4266666637.

4266666624 is nontrivially palindromic in base 10.

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

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31143484 + ... + 31143620.

Almost surely, 2^4266666624 is an apocalyptic number.

4266666624 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 4266666624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374738880).

4266666624 is an abundant number, since it is smaller than the sum of its proper divisors (8482811136).

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

4266666624 is a wasteful number, since it uses less digits than its factorization.

4266666624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 327 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The square root of 4266666624 is about 65319.7261476194. The cubic root of 4266666624 is about 1621.9205267465.

4266666624 divided by its sum of digits (48) gives a palindrome (88888888).

It can be divided in two parts, 42 and 66666624, that added together give a palindrome (66666666).

The spelling of 4266666624 in words is "four billion, two hundred sixty-six million, six hundred sixty-six thousand, six hundred twenty-four".