4532736960 has 336 divisors, whose sum is σ = 16675364160. Its totient is φ = 1127301120.

The previous prime is 4532736953. The next prime is 4532736973. The reversal of 4532736960 is 696372354.

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 47 ways as a sum of consecutive naturals, for example, 2715006 + ... + 2716674.

It is an arithmetic number, because the mean of its divisors is an integer number (49629060).

Almost surely, 2^4532736960 is an apocalyptic number.

4532736960 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 4532736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8337682080).

4532736960 is an abundant number, since it is smaller than the sum of its proper divisors (12142627200).

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

4532736960 is a wasteful number, since it uses less digits than its factorization.

4532736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 4532736960 is about 67325.6040448209. The cubic root of 4532736960 is about 1654.9574758685.

The spelling of 4532736960 in words is "four billion, five hundred thirty-two million, seven hundred thirty-six thousand, nine hundred sixty".