4715560268160 has 768 divisors, whose sum is σ = 18114798528000. Its totient is φ = 1042933248000.

The previous prime is 4715560268143. The next prime is 4715560268179. The reversal of 4715560268160 is 618620655174.

It is a happy number.

It is a super-2 number, since 2×4715560268160² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 632872435 + ... + 632879885.

It is an arithmetic number, because the mean of its divisors is an integer number (23586977250).

Almost surely, 2^{4715560268160} is an apocalyptic number.

4715560268160 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 4715560268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9057399264000).

4715560268160 is an abundant number, since it is smaller than the sum of its proper divisors (13399238259840).

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

4715560268160 is an equidigital number, since it uses as much as digits as its factorization.

4715560268160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7556 (or 7499 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 4715560268160 in words is "four trillion, seven hundred fifteen billion, five hundred sixty million, two hundred sixty-eight thousand, one hundred sixty".