4537528320 has 624 divisors, whose sum is σ = 17267938560. Its totient is φ = 1012137984.

The previous prime is 4537528313. The next prime is 4537528357. The reversal of 4537528320 is 238257354.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197283829 + ... + 197283851.

Almost surely, 2^4537528320 is an apocalyptic number.

4537528320 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 4537528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8633969280).

4537528320 is an abundant number, since it is smaller than the sum of its proper divisors (12730410240).

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

4537528320 is a wasteful number, since it uses less digits than its factorization.

4537528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 4537528320 is about 67361.1781369655. The cubic root of 4537528320 is about 1655.5403984886.

The spelling of 4537528320 in words is "four billion, five hundred thirty-seven million, five hundred twenty-eight thousand, three hundred twenty".