4835663409600 has 1344 divisors, whose sum is σ = 19555478369280. Its totient is φ = 1156173004800.

The previous prime is 4835663409571. The next prime is 4835663409653. The reversal of 4835663409600 is 69043665384.

4835663409600 is a `hidden beast` number, since 48 + 3 + 566 + 34 + 0 + 9 + 6 + 0 + 0 = 666.

It is a super-2 number, since 2×4835663409600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 5962593195 + ... + 5962594005.

It is an arithmetic number, because the mean of its divisors is an integer number (14550207120).

Almost surely, 2^{4835663409600} is an apocalyptic number.

4835663409600 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 4835663409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9777739184640).

4835663409600 is an abundant number, since it is smaller than the sum of its proper divisors (14719814959680).

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

4835663409600 is a wasteful number, since it uses less digits than its factorization.

4835663409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 4835663409600 in words is "four trillion, eight hundred thirty-five billion, six hundred sixty-three million, four hundred nine thousand, six hundred".