742173516000 has 1152 divisors, whose sum is σ = 3286621578240. Its totient is φ = 160683264000.

The previous prime is 742173515899. The next prime is 742173516059. The reversal of 742173516000 is 615371247.

It is a happy number.

742173516000 is a `hidden beast` number, since 7 + 4 + 2 + 17 + 35 + 1 + 600 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129273130 + ... + 129278870.

It is an arithmetic number, because the mean of its divisors is an integer number (2852970120).

Almost surely, 2^742173516000 is an apocalyptic number.

742173516000 is a gapful number since it is divisible by the number (70) 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 742173516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643310789120).

742173516000 is an abundant number, since it is smaller than the sum of its proper divisors (2544448062240).

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

742173516000 is a wasteful number, since it uses less digits than its factorization.

742173516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5807 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 742173516000 its reverse (615371247), we get a palindrome (742788887247).

The spelling of 742173516000 in words is "seven hundred forty-two billion, one hundred seventy-three million, five hundred sixteen thousand".