4820793364800 has 1344 divisors, whose sum is σ = 20679598325760. Its totient is φ = 1069549608960.

The previous prime is 4820793364789. The next prime is 4820793364801. The reversal of 4820793364800 is 84633970284.

4820793364800 is a `hidden beast` number, since 48 + 2 + 0 + 7 + 93 + 36 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 (4820793364801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2249552529 + ... + 2249554671.

Almost surely, 2^{4820793364800} is an apocalyptic number.

4820793364800 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 4820793364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10339799162880).

4820793364800 is an abundant number, since it is smaller than the sum of its proper divisors (15858804960960).

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

4820793364800 is a wasteful number, since it uses less digits than its factorization.

4820793364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 4820793364800 in words is "four trillion, eight hundred twenty billion, seven hundred ninety-three million, three hundred sixty-four thousand, eight hundred".