4817993564160 has 1536 divisors, whose sum is σ = 20710150502400. Its totient is φ = 1040874209280.

The previous prime is 4817993564143. The next prime is 4817993564171. The reversal of 4817993564160 is 614653997184.

4817993564160 is a `hidden beast` number, since 4 + 8 + 1 + 7 + 9 + 9 + 3 + 564 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11178639145 + ... + 11178639575.

It is an arithmetic number, because the mean of its divisors is an integer number (13483170900).

Almost surely, 2^{4817993564160} is an apocalyptic number.

4817993564160 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 4817993564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10355075251200).

4817993564160 is an abundant number, since it is smaller than the sum of its proper divisors (15892156938240).

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

4817993564160 is an equidigital number, since it uses as much as digits as its factorization.

4817993564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 4817993564160 in words is "four trillion, eight hundred seventeen billion, nine hundred ninety-three million, five hundred sixty-four thousand, one hundred sixty".