742200544800 has 1458 divisors, whose sum is σ = 3159541899423. Its totient is φ = 163747584000.

The previous prime is 742200544783. The next prime is 742200544801. The reversal of 742200544800 is 8445002247.

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.

742200544800 is a `hidden beast` number, since 7 + 4 + 2 + 200 + 5 + 448 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 46464389136 + 695736155664 = 215556^2 + 834108^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=609180.

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

It is not an unprimeable number, because it can be changed into a prime (742200544801) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 10453528765 + ... + 10453528835.

Almost surely, 2^742200544800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742200544800

742200544800 is an abundant number, since it is smaller than the sum of its proper divisors (2417341354623).

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

742200544800 is a wasteful number, since it uses less digits than its factorization.

742200544800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 742200544800 in words is "seven hundred forty-two billion, two hundred million, five hundred forty-four thousand, eight hundred".