4871603796960 has 576 divisors, whose sum is σ = 16460842628160. Its totient is φ = 1210739097600.

The previous prime is 4871603796911. The next prime is 4871603796967. The reversal of 4871603796960 is 696973061784.

It is a junction number, because it is equal to n+sod(n) for n = 4871603796891 and 4871603796900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4871603796967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3027720636 + ... + 3027722244.

It is an arithmetic number, because the mean of its divisors is an integer number (28577851785).

Almost surely, 2^{4871603796960} is an apocalyptic number.

4871603796960 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 4871603796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8230421314080).

4871603796960 is an abundant number, since it is smaller than the sum of its proper divisors (11589238831200).

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

4871603796960 is a wasteful number, since it uses less digits than its factorization.

4871603796960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 66.

The spelling of 4871603796960 in words is "four trillion, eight hundred seventy-one billion, six hundred three million, seven hundred ninety-six thousand, nine hundred sixty".