742306717800 has 192 divisors, whose sum is σ = 2562389121600. Its totient is φ = 197518406400.

The previous prime is 742306717769. The next prime is 742306717813. The reversal of 742306717800 is 8717603247.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2340307 + ... + 2638493.

It is an arithmetic number, because the mean of its divisors is an integer number (13345776675).

Almost surely, 2^742306717800 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 742306717800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281194560800).

742306717800 is an abundant number, since it is smaller than the sum of its proper divisors (1820082403800).

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

742306717800 is a wasteful number, since it uses less digits than its factorization.

742306717800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298673 (or 298658 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 742306717800 in words is "seven hundred forty-two billion, three hundred six million, seven hundred seventeen thousand, eight hundred".