4728071618560 has 512 divisors, whose sum is σ = 12058272230400. Its totient is φ = 1777682350080.

The previous prime is 4728071618531. The next prime is 4728071618629. The reversal of 4728071618560 is 658161708274.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×4728071618560² (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 31 ways as a sum of consecutive naturals, for example, 36092149695 + ... + 36092149825.

It is an arithmetic number, because the mean of its divisors is an integer number (23551312950).

Almost surely, 2^{4728071618560} is an apocalyptic number.

4728071618560 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 4728071618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6029136115200).

4728071618560 is an abundant number, since it is smaller than the sum of its proper divisors (7330200611840).

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

4728071618560 is a wasteful number, since it uses less digits than its factorization.

4728071618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 55.

The spelling of 4728071618560 in words is "four trillion, seven hundred twenty-eight billion, seventy-one million, six hundred eighteen thousand, five hundred sixty".