4546764800 has 126 divisors (see below), whose sum is σ = 11351469423. Its totient is φ = 1806499840.

The previous prime is 4546764793. The next prime is 4546764857. The reversal of 4546764800 is 84676454.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 192876544 + 4353888256 = 13888^2 + 65984^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=47680.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30515126 + ... + 30515274.

Almost surely, 2^4546764800 is an apocalyptic number.

4546764800 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 4546764800

4546764800 is an abundant number, since it is smaller than the sum of its proper divisors (6804704623).

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

4546764800 is an frugal number, since it uses more digits than its factorization.

4546764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The square root of 4546764800 is about 67429.7026539492. The cubic root of 4546764800 is about 1656.6629627897.

The spelling of 4546764800 in words is "four billion, five hundred forty-six million, seven hundred sixty-four thousand, eight hundred".