4538066400 has 648 divisors, whose sum is σ = 19623665880. Its totient is φ = 981227520.

The previous prime is 4538066399. The next prime is 4538066413. The reversal of 4538066400 is 46608354.

4538066400 is a `hidden beast` number, since 4 + 5 + 3 + 8 + 0 + 6 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6702862 + ... + 6703538.

It is an arithmetic number, because the mean of its divisors is an integer number (30283435).

Almost surely, 2^4538066400 is an apocalyptic number.

4538066400 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 4538066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9811832940).

4538066400 is an abundant number, since it is smaller than the sum of its proper divisors (15085599480).

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

4538066400 is a wasteful number, since it uses less digits than its factorization.

4538066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4538066400 is about 67365.1720104684. The cubic root of 4538066400 is about 1655.6058363147.

The spelling of 4538066400 in words is "four billion, five hundred thirty-eight million, sixty-six thousand, four hundred".