4468842560 has 448 divisors, whose sum is σ = 14194414080. Its totient is φ = 1300561920.

The previous prime is 4468842559. The next prime is 4468842577. The reversal of 4468842560 is 652488644.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22684382 + ... + 22684578.

It is an arithmetic number, because the mean of its divisors is an integer number (31683960).

Almost surely, 2^4468842560 is an apocalyptic number.

4468842560 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 4468842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097207040).

4468842560 is an abundant number, since it is smaller than the sum of its proper divisors (9725571520).

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

4468842560 is a wasteful number, since it uses less digits than its factorization.

4468842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 47.

The square root of 4468842560 is about 66849.4020915670. The cubic root of 4468842560 is about 1647.1444407595.

The spelling of 4468842560 in words is "four billion, four hundred sixty-eight million, eight hundred forty-two thousand, five hundred sixty".