6009778947744 has 864 divisors, whose sum is σ = 21613136283648. Its totient is φ = 1626708096000.

The previous prime is 6009778947743. The next prime is 6009778947763. The reversal of 6009778947744 is 4477498779006.

6009778947744 is a `hidden beast` number, since 6 + 0 + 0 + 9 + 77 + 89 + 477 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×6009778947744² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (6009778947743) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 448116399 + ... + 448129809.

It is an arithmetic number, because the mean of its divisors is an integer number (25015204032).

Almost surely, 2^{6009778947744} 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 6009778947744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10806568141824).

6009778947744 is an abundant number, since it is smaller than the sum of its proper divisors (15603357335904).

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

6009778947744 is a wasteful number, since it uses less digits than its factorization.

6009778947744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13504 (or 13471 counting only the distinct ones).

The product of its (nonzero) digits is 597445632, while the sum is 72.

The spelling of 6009778947744 in words is "six trillion, nine billion, seven hundred seventy-eight million, nine hundred forty-seven thousand, seven hundred forty-four".