4827783168000 has 2176 divisors, whose sum is σ = 20335843906560. Its totient is φ = 1121137459200.

The previous prime is 4827783167953. The next prime is 4827783168001. The reversal of 4827783168000 is 8613877284.

It is a happy number.

4827783168000 is a `hidden beast` number, since 482 + 7 + 7 + 83 + 1 + 6 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4827783168001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66134015964 + ... + 66134016036.

Almost surely, 2^{4827783168000} is an apocalyptic number.

4827783168000 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 4827783168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10167921953280).

4827783168000 is an abundant number, since it is smaller than the sum of its proper divisors (15508060738560).

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

4827783168000 is an equidigital number, since it uses as much as digits as its factorization.

4827783168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 4827783168000 in words is "four trillion, eight hundred twenty-seven billion, seven hundred eighty-three million, one hundred sixty-eight thousand".