5829848640 has 1120 divisors, whose sum is σ = 27191476224. Its totient is φ = 1149603840.

The previous prime is 5829848621. The next prime is 5829848681. The reversal of 5829848640 is 468489285.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 45904257 + ... + 45904383.

Almost surely, 2^5829848640 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 5829848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13595738112).

5829848640 is an abundant number, since it is smaller than the sum of its proper divisors (21361627584).

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

5829848640 is a wasteful number, since it uses less digits than its factorization.

5829848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 5829848640 is about 76353.4455018240. The cubic root of 5829848640 is about 1799.7786394453.

The spelling of 5829848640 in words is "five billion, eight hundred twenty-nine million, eight hundred forty-eight thousand, six hundred forty".