4604645760 has 512 divisors, whose sum is σ = 17832407040. Its totient is φ = 995328000.

The previous prime is 4604645713. The next prime is 4604645767. The reversal of 4604645760 is 675464064.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4604645767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8511090 + ... + 8511630.

It is an arithmetic number, because the mean of its divisors is an integer number (34828920).

Almost surely, 2^4604645760 is an apocalyptic number.

4604645760 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 4604645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8916203520).

4604645760 is an abundant number, since it is smaller than the sum of its proper divisors (13227761280).

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

4604645760 is a wasteful number, since it uses less digits than its factorization.

4604645760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 4604645760 is about 67857.5401853029. The cubic root of 4604645760 is about 1663.6631930501.

It can be divided in two parts, 46046 and 45760, that added together give a triangular number (91806 = T₄₂₈).

The spelling of 4604645760 in words is "four billion, six hundred four million, six hundred forty-five thousand, seven hundred sixty".