4824770832000 has 1536 divisors, whose sum is σ = 21247255411200. Its totient is φ = 1064602828800.

The previous prime is 4824770831999. The next prime is 4824770832001. The reversal of 4824770832000 is 2380774284.

4824770832000 is a `hidden beast` number, since 4 + 82 + 477 + 0 + 83 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4824770831999) and next prime (4824770832001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4824770832001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 789260944 + ... + 789267056.

It is an arithmetic number, because the mean of its divisors is an integer number (13832848575).

Almost surely, 2^{4824770832000} is an apocalyptic number.

4824770832000 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 4824770832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10623627705600).

4824770832000 is an abundant number, since it is smaller than the sum of its proper divisors (16422484579200).

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

4824770832000 is an equidigital number, since it uses as much as digits as its factorization.

4824770832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6193 (or 6159 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 4824770832000 in words is "four trillion, eight hundred twenty-four billion, seven hundred seventy million, eight hundred thirty-two thousand".