742803955200 has 720 divisors, whose sum is σ = 2779313112576. Its totient is φ = 196461158400.

The previous prime is 742803955193. The next prime is 742803955279. The reversal of 742803955200 is 2559308247.

742803955200 is a `hidden beast` number, since 7 + 42 + 80 + 3 + 9 + 5 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 407461489 + ... + 407463311.

Almost surely, 2^742803955200 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 742803955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389656556288).

742803955200 is an abundant number, since it is smaller than the sum of its proper divisors (2036509157376).

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

742803955200 is a wasteful number, since it uses less digits than its factorization.

742803955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 742803955200 in words is "seven hundred forty-two billion, eight hundred three million, nine hundred fifty-five thousand, two hundred".