58007480832 has 640 divisors, whose sum is σ = 208358092800. Its totient is φ = 15576219648.

The previous prime is 58007480831. The next prime is 58007480837. The reversal of 58007480832 is 23808470085.

It is not an unprimeable number, because it can be changed into a prime (58007480831) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 149119294 + ... + 149119682.

It is an arithmetic number, because the mean of its divisors is an integer number (325559520).

Almost surely, 2^58007480832 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 58007480832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104179046400).

58007480832 is an abundant number, since it is smaller than the sum of its proper divisors (150350611968).

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

58007480832 is a wasteful number, since it uses less digits than its factorization.

58007480832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 58007480832 in words is "fifty-eight billion, seven million, four hundred eighty thousand, eight hundred thirty-two".