4857984224640 has 384 divisors, whose sum is σ = 17778734737920. Its totient is φ = 1218110423040.

The previous prime is 4857984224549. The next prime is 4857984224659. The reversal of 4857984224640 is 464224897584.

It is a happy number.

4857984224640 is a `hidden beast` number, since 4 + 8 + 5 + 79 + 84 + 22 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4857984224640² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106416220 + ... + 106461860.

It is an arithmetic number, because the mean of its divisors is an integer number (46298788380).

Almost surely, 2^{4857984224640} is an apocalyptic number.

4857984224640 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 4857984224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8889367368960).

4857984224640 is an abundant number, since it is smaller than the sum of its proper divisors (12920750513280).

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

4857984224640 is a wasteful number, since it uses less digits than its factorization.

4857984224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46770 (or 46755 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 4857984224640 in words is "four trillion, eight hundred fifty-seven billion, nine hundred eighty-four million, two hundred twenty-four thousand, six hundred forty".