4542069600 has 288 divisors, whose sum is σ = 16498944000. Its totient is φ = 1205936640.

The previous prime is 4542069599. The next prime is 4542069611. The reversal of 4542069600 is 69602454.

4542069600 is a `hidden beast` number, since 4 + 5 + 42 + 0 + 6 + 9 + 600 = 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 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 47 ways as a sum of consecutive naturals, for example, 9482161 + ... + 9482639.

It is an arithmetic number, because the mean of its divisors is an integer number (57288000).

Almost surely, 2^4542069600 is an apocalyptic number.

4542069600 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 4542069600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8249472000).

4542069600 is an abundant number, since it is smaller than the sum of its proper divisors (11956874400).

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

4542069600 is a wasteful number, since it uses less digits than its factorization.

4542069600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4542069600 is about 67394.8781436690. The cubic root of 4542069600 is about 1656.0925174104.

The spelling of 4542069600 in words is "four billion, five hundred forty-two million, sixty-nine thousand, six hundred".