5880420672 has 224 divisors, whose sum is σ = 18674632704. Its totient is φ = 1596672000.

The previous prime is 5880420661. The next prime is 5880420677. The reversal of 5880420672 is 2760240885.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5880420677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5594547 + ... + 5595597.

It is an arithmetic number, because the mean of its divisors is an integer number (83368896).

Almost surely, 2^5880420672 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 5880420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9337316352).

5880420672 is an abundant number, since it is smaller than the sum of its proper divisors (12794212032).

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

5880420672 is a wasteful number, since it uses less digits than its factorization.

5880420672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 5880420672 is about 76683.9009962326. The cubic root of 5880420672 is about 1804.9678272773.

The spelling of 5880420672 in words is "five billion, eight hundred eighty million, four hundred twenty thousand, six hundred seventy-two".