4804278006528 has 1728 divisors, whose sum is σ = 19810272706560. Its totient is φ = 1114070630400.

The previous prime is 4804278006527. The next prime is 4804278006589. The reversal of 4804278006528 is 8256008724084.

4804278006528 is a `hidden beast` number, since 4 + 8 + 0 + 42 + 78 + 0 + 0 + 6 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×4804278006528² (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 not an unprimeable number, because it can be changed into a prime (4804278006527) 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, 2788320675 + ... + 2788322397.

Almost surely, 2^{4804278006528} is an apocalyptic number.

4804278006528 is a gapful number since it is divisible by the number (48) 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 4804278006528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9905136353280).

4804278006528 is an abundant number, since it is smaller than the sum of its proper divisors (15005994700032).

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

4804278006528 is a wasteful number, since it uses less digits than its factorization.

4804278006528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 4804278006528 in words is "four trillion, eight hundred four billion, two hundred seventy-eight million, six thousand, five hundred twenty-eight".