4815761205760 has 80 divisors (see below), whose sum is σ = 11550102933600. Its totient is φ = 1925710073856.

The previous prime is 4815761205733. The next prime is 4815761205779. The reversal of 4815761205760 is 675021675184.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4815761205698 and 4815761205707.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8054431 + ... + 8631649.

It is an arithmetic number, because the mean of its divisors is an integer number (144376286670).

Almost surely, 2^{4815761205760} is an apocalyptic number.

4815761205760 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 4815761205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5775051466800).

4815761205760 is an abundant number, since it is smaller than the sum of its proper divisors (6734341727840).

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

4815761205760 is an equidigital number, since it uses as much as digits as its factorization.

4815761205760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580501 (or 580485 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 52.

The spelling of 4815761205760 in words is "four trillion, eight hundred fifteen billion, seven hundred sixty-one million, two hundred five thousand, seven hundred sixty".