5829721680 has 80 divisors (see below), whose sum is σ = 18857900160. Its totient is φ = 1487000064.

The previous prime is 5829721669. The next prime is 5829721727. The reversal of 5829721680 is 861279285.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522535 + ... + 533574.

It is an arithmetic number, because the mean of its divisors is an integer number (235723752).

Almost surely, 2^5829721680 is an apocalyptic number.

It is an amenable number.

5829721680 is an abundant number, since it is smaller than the sum of its proper divisors (13028178480).

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

5829721680 is a wasteful number, since it uses less digits than its factorization.

5829721680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056148 (or 1056142 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 5829721680 is about 76352.6141006318. The cubic root of 5829721680 is about 1799.7655744088.

The spelling of 5829721680 in words is "five billion, eight hundred twenty-nine million, seven hundred twenty-one thousand, six hundred eighty".