73380996432000 has 384 divisors, whose sum is σ = 263619799700400. Its totient is φ = 19561560883200.

The previous prime is 73380996431999. The next prime is 73380996432059. The reversal of 73380996432000 is 23469908337.

It can be written as a sum of positive squares in 8 ways, for example, as 253459888704 + 73127536543296 = 503448^2 + 8551464^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427450182 + ... + 427621818.

Almost surely, 2^{73380996432000} 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 73380996432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131809899850200).

73380996432000 is an abundant number, since it is smaller than the sum of its proper divisors (190238803268400).

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

73380996432000 is a wasteful number, since it uses less digits than its factorization.

73380996432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174641 (or 174616 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 73380996432000 in words is "seventy-three trillion, three hundred eighty billion, nine hundred ninety-six million, four hundred thirty-two thousand".