4732829825304 has 256 divisors, whose sum is σ = 13777342387200. Its totient is φ = 1326981906432.

The previous prime is 4732829825303. The next prime is 4732829825323. The reversal of 4732829825304 is 4035289282374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4732829825303) 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, 2941472052 + ... + 2941473660.

It is an arithmetic number, because the mean of its divisors is an integer number (53817743700).

Almost surely, 2^{4732829825304} 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 4732829825304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6888671193600).

4732829825304 is an abundant number, since it is smaller than the sum of its proper divisors (9044512561896).

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

4732829825304 is a wasteful number, since it uses less digits than its factorization.

4732829825304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 4732829825304 in words is "four trillion, seven hundred thirty-two billion, eight hundred twenty-nine million, eight hundred twenty-five thousand, three hundred four".