4608942735360 has 1088 divisors, whose sum is σ = 16428124569600. Its totient is φ = 1098714710016.

The previous prime is 4608942735349. The next prime is 4608942735361. The reversal of 4608942735360 is 635372498064.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 4608942735360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4608942735361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36290887617 + ... + 36290887743.

It is an arithmetic number, because the mean of its divisors is an integer number (15099379200).

Almost surely, 2^{4608942735360} is an apocalyptic number.

4608942735360 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 4608942735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8214062284800).

4608942735360 is an abundant number, since it is smaller than the sum of its proper divisors (11819181834240).

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

4608942735360 is a wasteful number, since it uses less digits than its factorization.

4608942735360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 4608942735360 in words is "four trillion, six hundred eight billion, nine hundred forty-two million, seven hundred thirty-five thousand, three hundred sixty".