5879472480 has 672 divisors, whose sum is σ = 25119763200. Its totient is φ = 1269789696.

The previous prime is 5879472437. The next prime is 5879472481. The reversal of 5879472480 is 842749785.

It is a happy number.

5879472480 is a `hidden beast` number, since 5 + 8 + 7 + 94 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5879472481) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 15512931 + ... + 15513309.

It is an arithmetic number, because the mean of its divisors is an integer number (37380600).

Almost surely, 2^5879472480 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 5879472480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12559881600).

5879472480 is an abundant number, since it is smaller than the sum of its proper divisors (19240290720).

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

5879472480 is a wasteful number, since it uses less digits than its factorization.

5879472480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 5879472480 is about 76677.7182759112. The cubic root of 5879472480 is about 1804.8708076848.

The spelling of 5879472480 in words is "five billion, eight hundred seventy-nine million, four hundred seventy-two thousand, four hundred eighty".