5929474320 has 720 divisors, whose sum is σ = 26170824960. Its totient is φ = 1229437440.

The previous prime is 5929474307. The next prime is 5929474337. The reversal of 5929474320 is 234749295.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12806409 + ... + 12806871.

It is an arithmetic number, because the mean of its divisors is an integer number (36348368).

Almost surely, 2^5929474320 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 5929474320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13085412480).

5929474320 is an abundant number, since it is smaller than the sum of its proper divisors (20241350640).

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

5929474320 is a wasteful number, since it uses less digits than its factorization.

5929474320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 5929474320 is about 77003.0799384025. The cubic root of 5929474320 is about 1809.9728657044.

It can be divided in two parts, 5929 and 474320, that added together give a square (480249 = 693²).

The spelling of 5929474320 in words is "five billion, nine hundred twenty-nine million, four hundred seventy-four thousand, three hundred twenty".