5829648764352 has 224 divisors, whose sum is σ = 17894438338560. Its totient is φ = 1640603704320.

The previous prime is 5829648764341. The next prime is 5829648764393. The reversal of 5829648764352 is 2534678469285.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23602777 + ... + 23848487.

It is an arithmetic number, because the mean of its divisors is an integer number (79885885440).

Almost surely, 2^{5829648764352} 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 5829648764352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8947219169280).

5829648764352 is an abundant number, since it is smaller than the sum of its proper divisors (12064789574208).

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

5829648764352 is a wasteful number, since it uses less digits than its factorization.

5829648764352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245999 (or 245989 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 69.

The spelling of 5829648764352 in words is "five trillion, eight hundred twenty-nine billion, six hundred forty-eight million, seven hundred sixty-four thousand, three hundred fifty-two".