4809905307648 has 1280 divisors, whose sum is σ = 17356603968000. Its totient is φ = 1298481020928.

The previous prime is 4809905307589. The next prime is 4809905307679. The reversal of 4809905307648 is 8467035099084.

4809905307648 is a `hidden beast` number, since 4 + 8 + 0 + 9 + 90 + 530 + 7 + 6 + 4 + 8 = 666.

It is a super-3 number, since 3×4809905307648³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42565533640 + ... + 42565533752.

It is an arithmetic number, because the mean of its divisors is an integer number (13559846850).

Almost surely, 2^{4809905307648} is an apocalyptic number.

4809905307648 is a gapful number since it is divisible by the number (48) 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 4809905307648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8678301984000).

4809905307648 is an abundant number, since it is smaller than the sum of its proper divisors (12546698660352).

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

4809905307648 is an equidigital number, since it uses as much as digits as its factorization.

4809905307648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 4809905307648 in words is "four trillion, eight hundred nine billion, nine hundred five million, three hundred seven thousand, six hundred forty-eight".