4791829497728 has 1024 divisors, whose sum is σ = 13447053312000. Its totient is φ = 1647904849920.

The previous prime is 4791829497701. The next prime is 4791829497731. The reversal of 4791829497728 is 8277949281974.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10915328933 + ... + 10915329371.

It is an arithmetic number, because the mean of its divisors is an integer number (13131888000).

Almost surely, 2^{4791829497728} 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 4791829497728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6723526656000).

4791829497728 is an abundant number, since it is smaller than the sum of its proper divisors (8655223814272).

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

4791829497728 is a wasteful number, since it uses less digits than its factorization.

4791829497728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 591 counting only the distinct ones).

The product of its digits is 1024192512, while the sum is 77.

The spelling of 4791829497728 in words is "four trillion, seven hundred ninety-one billion, eight hundred twenty-nine million, four hundred ninety-seven thousand, seven hundred twenty-eight".