4725735168 has 288 divisors, whose sum is σ = 15811729920. Its totient is φ = 1217249280.

The previous prime is 4725735137. The next prime is 4725735169. The reversal of 4725735168 is 8615375274.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4725735169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9284098 + ... + 9284606.

It is an arithmetic number, because the mean of its divisors is an integer number (54901840).

Almost surely, 2^4725735168 is an apocalyptic number.

4725735168 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 4725735168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7905864960).

4725735168 is an abundant number, since it is smaller than the sum of its proper divisors (11085994752).

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

4725735168 is a wasteful number, since it uses less digits than its factorization.

4725735168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 689 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 48.

The square root of 4725735168 is about 68743.9827766765. The cubic root of 4725735168 is about 1678.1204376366.

The spelling of 4725735168 in words is "four billion, seven hundred twenty-five million, seven hundred thirty-five thousand, one hundred sixty-eight".