4768024370560 has 128 divisors (see below), whose sum is σ = 12835913702400. Its totient is φ = 1677897062400.

The previous prime is 4768024370521. The next prime is 4768024370563. The reversal of 4768024370560 is 650734208674.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4768024370498 and 4768024370507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4768024370563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10705570 + ... + 11142049.

It is an arithmetic number, because the mean of its divisors is an integer number (100280575800).

Almost surely, 2^{4768024370560} is an apocalyptic number.

4768024370560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4768024370560 is an abundant number, since it is smaller than the sum of its proper divisors (8067889331840).

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

4768024370560 is a wasteful number, since it uses less digits than its factorization.

4768024370560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21847680 (or 21847668 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 52.

The spelling of 4768024370560 in words is "four trillion, seven hundred sixty-eight billion, twenty-four million, three hundred seventy thousand, five hundred sixty".