4804727569920 has 480 divisors, whose sum is σ = 17382691374048. Its totient is φ = 1271885856768.

The previous prime is 4804727569919. The next prime is 4804727569931. The reversal of 4804727569920 is 299657274084.

4804727569920 is a `hidden beast` number, since 4 + 8 + 0 + 47 + 2 + 7 + 569 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4804727569920² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 85196772 + ... + 85253148.

Almost surely, 2^{4804727569920} is an apocalyptic number.

4804727569920 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 4804727569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8691345687024).

4804727569920 is an abundant number, since it is smaller than the sum of its proper divisors (12577963804128).

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

4804727569920 is an equidigital number, since it uses as much as digits as its factorization.

4804727569920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56552 (or 56524 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 4804727569920 in words is "four trillion, eight hundred four billion, seven hundred twenty-seven million, five hundred sixty-nine thousand, nine hundred twenty".