4523732640 has 288 divisors, whose sum is σ = 18681062400. Its totient is φ = 973135872.

The previous prime is 4523732627. The next prime is 4523732641. The reversal of 4523732640 is 462373254.

4523732640 is a `hidden beast` number, since 4 + 5 + 2 + 3 + 7 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4523732595 and 4523732604.

It is not an unprimeable number, because it can be changed into a prime (4523732641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158161 + ... + 184559.

It is an arithmetic number, because the mean of its divisors is an integer number (64864800).

Almost surely, 2^4523732640 is an apocalyptic number.

4523732640 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 4523732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9340531200).

4523732640 is an abundant number, since it is smaller than the sum of its proper divisors (14157329760).

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

4523732640 is a wasteful number, since it uses less digits than its factorization.

4523732640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26444 (or 26433 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 4523732640 is about 67258.6993629820. The cubic root of 4523732640 is about 1653.8608871165.

It can be divided in two parts, 45237 and 32640, that added together give a palindrome (77877).

The spelling of 4523732640 in words is "four billion, five hundred twenty-three million, seven hundred thirty-two thousand, six hundred forty".