4844947760640 has 1920 divisors, whose sum is σ = 20333298585600. Its totient is φ = 1054569922560.

The previous prime is 4844947760633. The next prime is 4844947760663. The reversal of 4844947760640 is 460677494484.

4844947760640 is a `hidden beast` number, since 4 + 8 + 4 + 49 + 477 + 60 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5116100647 + ... + 5116101593.

It is an arithmetic number, because the mean of its divisors is an integer number (10590259680).

Almost surely, 2^{4844947760640} is an apocalyptic number.

4844947760640 is a gapful number since it is divisible by the number (40) 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 4844947760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10166649292800).

4844947760640 is an abundant number, since it is smaller than the sum of its proper divisors (15488350824960).

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

4844947760640 is a wasteful number, since it uses less digits than its factorization.

4844947760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 4844947760640 in words is "four trillion, eight hundred forty-four billion, nine hundred forty-seven million, seven hundred sixty thousand, six hundred forty".