4560638296368 has 320 divisors, whose sum is σ = 14927084605440. Its totient is φ = 1165410892800.

The previous prime is 4560638296367. The next prime is 4560638296373. The reversal of 4560638296368 is 8636928360654.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 4560638296299 and 4560638296308.

It is not an unprimeable number, because it can be changed into a prime (4560638296367) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 200818198 + ... + 200840906.

It is an arithmetic number, because the mean of its divisors is an integer number (46647139392).

Almost surely, 2^{4560638296368} is an apocalyptic number.

4560638296368 is a gapful number since it is divisible by the number (48) 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 4560638296368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7463542302720).

4560638296368 is an abundant number, since it is smaller than the sum of its proper divisors (10366446309072).

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

4560638296368 is a wasteful number, since it uses less digits than its factorization.

4560638296368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23616 (or 23610 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 66.

The spelling of 4560638296368 in words is "four trillion, five hundred sixty billion, six hundred thirty-eight million, two hundred ninety-six thousand, three hundred sixty-eight".