3087742018560 has 704 divisors, whose sum is σ = 10299467464704. Its totient is φ = 789007564800.

The previous prime is 3087742018507. The next prime is 3087742018579. The reversal of 3087742018560 is 658102477803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10988405620 + ... + 10988405900.

It is an arithmetic number, because the mean of its divisors is an integer number (14629925376).

Almost surely, 2^{3087742018560} is an apocalyptic number.

3087742018560 is a gapful number since it is divisible by the number (30) 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 3087742018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149733732352).

3087742018560 is an abundant number, since it is smaller than the sum of its proper divisors (7211725446144).

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

3087742018560 is a wasteful number, since it uses less digits than its factorization.

3087742018560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 3087742018560 in words is "three trillion, eighty-seven billion, seven hundred forty-two million, eighteen thousand, five hundred sixty".