73742304000 has 576 divisors, whose sum is σ = 257131929600. Its totient is φ = 18708480000.

The previous prime is 73742303959. The next prime is 73742304011. The reversal of 73742304000 is 40324737.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211295826 + ... + 211296174.

It is an arithmetic number, because the mean of its divisors is an integer number (446409600).

Almost surely, 2^73742304000 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 73742304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128565964800).

73742304000 is an abundant number, since it is smaller than the sum of its proper divisors (183389625600).

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

73742304000 is a wasteful number, since it uses less digits than its factorization.

73742304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

Adding to 73742304000 its reverse (40324737), we get a palindrome (73782628737).

The spelling of 73742304000 in words is "seventy-three billion, seven hundred forty-two million, three hundred four thousand".