4776853127904 has 1728 divisors, whose sum is σ = 17690720785920. Its totient is φ = 1210916044800.

The previous prime is 4776853127897. The next prime is 4776853127927. The reversal of 4776853127904 is 4097213586774.

4776853127904 is a `hidden beast` number, since 4 + 7 + 7 + 6 + 8 + 531 + 2 + 7 + 90 + 4 = 666.

It is a super-4 number, since 4×4776853127904⁴ (a number of 52 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15068937154 + ... + 15068937470.

It is an arithmetic number, because the mean of its divisors is an integer number (10237685640).

It is a 1-persistent number, because it is pandigital, but 2⋅4776853127904 = 9553706255808 is not.

Almost surely, 2^{4776853127904} is an apocalyptic number.

4776853127904 is a gapful number since it is divisible by the number (44) 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 4776853127904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845360392960).

4776853127904 is an abundant number, since it is smaller than the sum of its proper divisors (12913867658016).

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

4776853127904 is a wasteful number, since it uses less digits than its factorization.

4776853127904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 4776853127904 in words is "four trillion, seven hundred seventy-six billion, eight hundred fifty-three million, one hundred twenty-seven thousand, nine hundred four".