73393482240 has 960 divisors, whose sum is σ = 289709671680. Its totient is φ = 17597399040.

The previous prime is 73393482233. The next prime is 73393482367. The reversal of 73393482240 is 4228439337.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 712558029 + ... + 712558131.

It is an arithmetic number, because the mean of its divisors is an integer number (301780908).

Almost surely, 2^73393482240 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 73393482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144854835840).

73393482240 is an abundant number, since it is smaller than the sum of its proper divisors (216316189440).

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

73393482240 is a wasteful number, since it uses less digits than its factorization.

73393482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 73393482240 in words is "seventy-three billion, three hundred ninety-three million, four hundred eighty-two thousand, two hundred forty".