73353000000 has 588 divisors, whose sum is σ = 282769818000. Its totient is φ = 16732800000.

The previous prime is 73352999999. The next prime is 73353000011. The reversal of 73353000000 is 35337.

It is a tau number, because it is divible by the number of its divisors (588).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 146999751 + ... + 147000249.

Almost surely, 2^73353000000 is an apocalyptic number.

73353000000 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 73353000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141384909000).

73353000000 is an abundant number, since it is smaller than the sum of its proper divisors (209416818000).

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

73353000000 is an frugal number, since it uses more digits than its factorization.

73353000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 21.

Adding to 73353000000 its reverse (35337), we get a palindrome (73353035337).

The spelling of 73353000000 in words is "seventy-three billion, three hundred fifty-three million", and thus it is an aban number.