742285972800 has 504 divisors, whose sum is σ = 2730028933632. Its totient is φ = 191089152000.

The previous prime is 742285972751. The next prime is 742285972811. The reversal of 742285972800 is 8279582247.

742285972800 is a `hidden beast` number, since 7 + 4 + 2 + 28 + 597 + 28 + 0 + 0 = 666.

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, 205788597 + ... + 205792203.

Almost surely, 2^742285972800 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 742285972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365014466816).

742285972800 is an abundant number, since it is smaller than the sum of its proper divisors (1987742960832).

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

742285972800 is a wasteful number, since it uses less digits than its factorization.

742285972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 742285972800 in words is "seven hundred forty-two billion, two hundred eighty-five million, nine hundred seventy-two thousand, eight hundred".