5958780672 has 144 divisors (see below), whose sum is σ = 17402763168. Its totient is φ = 1798717440.

The previous prime is 5958780647. The next prime is 5958780689. The reversal of 5958780672 is 2760878595.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523522 + ... + 534782.

It is an arithmetic number, because the mean of its divisors is an integer number (120852522).

Almost surely, 2^5958780672 is an apocalyptic number.

5958780672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5958780672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8701381584).

5958780672 is an abundant number, since it is smaller than the sum of its proper divisors (11443982496).

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

5958780672 is a wasteful number, since it uses less digits than its factorization.

5958780672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11346 (or 11332 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 57.

The square root of 5958780672 is about 77193.1387624574. The cubic root of 5958780672 is about 1812.9498891271.

The spelling of 5958780672 in words is "five billion, nine hundred fifty-eight million, seven hundred eighty thousand, six hundred seventy-two".