4267980288 has 640 divisors, whose sum is σ = 15838986240. Its totient is φ = 1114767360.

The previous prime is 4267980253. The next prime is 4267980307. The reversal of 4267980288 is 8820897624.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33606081 + ... + 33606207.

It is an arithmetic number, because the mean of its divisors is an integer number (24748416).

Almost surely, 2^4267980288 is an apocalyptic number.

4267980288 is a gapful number since it is divisible by the number (48) 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 4267980288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7919493120).

4267980288 is an abundant number, since it is smaller than the sum of its proper divisors (11571005952).

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

4267980288 is a wasteful number, since it uses less digits than its factorization.

4267980288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 4267980288 is about 65329.7810190728. The cubic root of 4267980288 is about 1622.0869673712.

The spelling of 4267980288 in words is "four billion, two hundred sixty-seven million, nine hundred eighty thousand, two hundred eighty-eight".