2847668408640 has 896 divisors, whose sum is σ = 11253097981440. Its totient is φ = 671912755200.

The previous prime is 2847668408623. The next prime is 2847668408671. The reversal of 2847668408640 is 468048667482.

2847668408640 is a `hidden beast` number, since 2 + 8 + 476 + 6 + 8 + 40 + 86 + 40 = 666.

It is a congruent number.

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, 2856236622 + ... + 2856237618.

It is an arithmetic number, because the mean of its divisors is an integer number (12559261140).

Almost surely, 2^{2847668408640} is an apocalyptic number.

2847668408640 is a gapful number since it is divisible by the number (20) 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 2847668408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626548990720).

2847668408640 is an abundant number, since it is smaller than the sum of its proper divisors (8405429572800).

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

2847668408640 is a wasteful number, since it uses less digits than its factorization.

2847668408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 2847668408640 in words is "two trillion, eight hundred forty-seven billion, six hundred sixty-eight million, four hundred eight thousand, six hundred forty".