6058312718640 has 640 divisors, whose sum is σ = 23316919621632. Its totient is φ = 1267087933440.

The previous prime is 6058312718639. The next prime is 6058312718669. The reversal of 6058312718640 is 468172138506.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3479788170 + ... + 3479789910.

Almost surely, 2^{6058312718640} is an apocalyptic number.

6058312718640 is a gapful number since it is divisible by the number (60) 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 6058312718640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11658459810816).

6058312718640 is an abundant number, since it is smaller than the sum of its proper divisors (17258606902992).

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

6058312718640 is a wasteful number, since it uses less digits than its factorization.

6058312718640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 6058312718640 in words is "six trillion, fifty-eight billion, three hundred twelve million, seven hundred eighteen thousand, six hundred forty".