4538736720 has 960 divisors, whose sum is σ = 19982649600. Its totient is φ = 940584960.

The previous prime is 4538736647. The next prime is 4538736791. The reversal of 4538736720 is 276378354.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74405490 + ... + 74405550.

It is an arithmetic number, because the mean of its divisors is an integer number (20815260).

Almost surely, 2^4538736720 is an apocalyptic number.

4538736720 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 4538736720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9991324800).

4538736720 is an abundant number, since it is smaller than the sum of its proper divisors (15443912880).

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

4538736720 is a wasteful number, since it uses less digits than its factorization.

4538736720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 4538736720 is about 67370.1470979543. The cubic root of 4538736720 is about 1655.6873490831.

The spelling of 4538736720 in words is "four billion, five hundred thirty-eight million, seven hundred thirty-six thousand, seven hundred twenty".