4787338165120 has 768 divisors, whose sum is σ = 14372152185600. Its totient is φ = 1514894524416.

The previous prime is 4787338165111. The next prime is 4787338165163. The reversal of 4787338165120 is 215618337874.

It is a super-2 number, since 2×4787338165120² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8296946272 + ... + 8296946848.

It is an arithmetic number, because the mean of its divisors is an integer number (18713739825).

Almost surely, 2^{4787338165120} is an apocalyptic number.

4787338165120 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 4787338165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7186076092800).

4787338165120 is an abundant number, since it is smaller than the sum of its proper divisors (9584814020480).

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

4787338165120 is a wasteful number, since it uses less digits than its factorization.

4787338165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 4787338165120 in words is "four trillion, seven hundred eighty-seven billion, three hundred thirty-eight million, one hundred sixty-five thousand, one hundred twenty".