4809669643008 has 360 divisors, whose sum is σ = 14664601717920. Its totient is φ = 1567429263360.

The previous prime is 4809669643001. The next prime is 4809669643061. The reversal of 4809669643008 is 8003469669084.

4809669643008 is a `hidden beast` number, since 480 + 9 + 6 + 69 + 64 + 30 + 0 + 8 = 666.

It is a super-3 number, since 3×4809669643008³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4809669643001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 211226248 + ... + 211249016.

It is an arithmetic number, because the mean of its divisors is an integer number (40735004772).

Almost surely, 2^{4809669643008} is an apocalyptic number.

4809669643008 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 4809669643008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7332300858960).

4809669643008 is an abundant number, since it is smaller than the sum of its proper divisors (9854932074912).

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

4809669643008 is a wasteful number, since it uses less digits than its factorization.

4809669643008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23025 (or 23002 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 4809669643008 in words is "four trillion, eight hundred nine billion, six hundred sixty-nine million, six hundred forty-three thousand, eight".