5929924080 has 160 divisors (see below), whose sum is σ = 18802368000. Its totient is φ = 1545456640.

The previous prime is 5929924079. The next prime is 5929924087. The reversal of 5929924080 is 804299295.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5929924087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3955171 + ... + 3956669.

It is an arithmetic number, because the mean of its divisors is an integer number (117514800).

Almost surely, 2^5929924080 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 5929924080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9401184000).

5929924080 is an abundant number, since it is smaller than the sum of its proper divisors (12872443920).

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

5929924080 is a wasteful number, since it uses less digits than its factorization.

5929924080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 5929924080 is about 77006.0002856920. Note that the first 3 decimals coincide. The cubic root of 5929924080 is about 1810.0186276483.

The spelling of 5929924080 in words is "five billion, nine hundred twenty-nine million, nine hundred twenty-four thousand, eighty".