4684288752 has 320 divisors, whose sum is σ = 15918981120. Its totient is φ = 1300147200.

The previous prime is 4684288733. The next prime is 4684288753. The reversal of 4684288752 is 2578824864.

It is a super-2 number, since 2×4684288752² = 43885122224227435008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4684288753) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11799018 + ... + 11799414.

It is an arithmetic number, because the mean of its divisors is an integer number (49746816).

Almost surely, 2^4684288752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4684288752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7959490560).

4684288752 is an abundant number, since it is smaller than the sum of its proper divisors (11234692368).

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

4684288752 is a wasteful number, since it uses less digits than its factorization.

4684288752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 617 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The square root of 4684288752 is about 68441.8640307232. The cubic root of 4684288752 is about 1673.2001163062.

The spelling of 4684288752 in words is "four billion, six hundred eighty-four million, two hundred eighty-eight thousand, seven hundred fifty-two".