5830668480 has 448 divisors, whose sum is σ = 23530364928. Its totient is φ = 1189969920.

The previous prime is 5830668479. The next prime is 5830668499. The reversal of 5830668480 is 848660385.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2707084 + ... + 2709236.

It is an arithmetic number, because the mean of its divisors is an integer number (52523136).

Almost surely, 2^5830668480 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 5830668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11765182464).

5830668480 is an abundant number, since it is smaller than the sum of its proper divisors (17699696448).

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

5830668480 is a wasteful number, since it uses less digits than its factorization.

5830668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 5830668480 is about 76358.8140295539. The cubic root of 5830668480 is about 1799.8630019190.

The spelling of 5830668480 in words is "five billion, eight hundred thirty million, six hundred sixty-eight thousand, four hundred eighty".