4279824640 has 432 divisors, whose sum is σ = 13358807280. Its totient is φ = 1300561920.

The previous prime is 4279824623. The next prime is 4279824641. The reversal of 4279824640 is 464289724.

It can be written as a sum of positive squares in 8 ways, for example, as 1341317376 + 2938507264 = 36624^2 + 54208^2 .

It is a super-2 number, since 2×4279824640² = 36633797898302259200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4279824641) 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, 23645350 + ... + 23645530.

It is an arithmetic number, because the mean of its divisors is an integer number (30923165).

Almost surely, 2^4279824640 is an apocalyptic number.

4279824640 is a gapful number since it is divisible by the number (40) 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 4279824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6679403640).

4279824640 is an abundant number, since it is smaller than the sum of its proper divisors (9078982640).

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

4279824640 is a wasteful number, since it uses less digits than its factorization.

4279824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The square root of 4279824640 is about 65420.3686935499. The cubic root of 4279824640 is about 1623.5861014178.

The spelling of 4279824640 in words is "four billion, two hundred seventy-nine million, eight hundred twenty-four thousand, six hundred forty".