5958720768 has 576 divisors, whose sum is σ = 22284767232. Its totient is φ = 1362493440.

The previous prime is 5958720763. The next prime is 5958720787. The reversal of 5958720768 is 8670278595.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5958720763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17681496 + ... + 17681832.

It is an arithmetic number, because the mean of its divisors is an integer number (38688832).

Almost surely, 2^5958720768 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 5958720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11142383616).

5958720768 is an abundant number, since it is smaller than the sum of its proper divisors (16326046464).

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

5958720768 is a wasteful number, since it uses less digits than its factorization.

5958720768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 396 counting only the distinct ones).

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

The square root of 5958720768 is about 77192.7507477224. The cubic root of 5958720768 is about 1812.9438138733.

The spelling of 5958720768 in words is "five billion, nine hundred fifty-eight million, seven hundred twenty thousand, seven hundred sixty-eight".