4839707828160 has 1792 divisors, whose sum is σ = 19195084800000. Its totient is φ = 1157322608640.

The previous prime is 4839707828117. The next prime is 4839707828233. The reversal of 4839707828160 is 618287079384.

4839707828160 is a `hidden beast` number, since 4 + 8 + 397 + 0 + 7 + 82 + 8 + 160 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24320139741 + ... + 24320139939.

Almost surely, 2^{4839707828160} is an apocalyptic number.

4839707828160 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 4839707828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9597542400000).

4839707828160 is an abundant number, since it is smaller than the sum of its proper divisors (14355376971840).

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

4839707828160 is a wasteful number, since it uses less digits than its factorization.

4839707828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 4839707828160 in words is "four trillion, eight hundred thirty-nine billion, seven hundred seven million, eight hundred twenty-eight thousand, one hundred sixty".