4729844828544 has 768 divisors, whose sum is σ = 15146770867200. Its totient is φ = 1294696775680.

The previous prime is 4729844828537. The next prime is 4729844828581. The reversal of 4729844828544 is 4458284489274.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3045617272 + ... + 3045618824.

It is an arithmetic number, because the mean of its divisors is an integer number (19722357900).

Almost surely, 2^{4729844828544} is an apocalyptic number.

4729844828544 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 4729844828544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7573385433600).

4729844828544 is an abundant number, since it is smaller than the sum of its proper divisors (10416926038656).

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

4729844828544 is a wasteful number, since it uses less digits than its factorization.

4729844828544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1668 counting only the distinct ones).

The product of its digits is 660602880, while the sum is 69.

The spelling of 4729844828544 in words is "four trillion, seven hundred twenty-nine billion, eight hundred forty-four million, eight hundred twenty-eight thousand, five hundred forty-four".