73306632960 has 1440 divisors, whose sum is σ = 320531904000. Its totient is φ = 15765995520.

The previous prime is 73306632911. The next prime is 73306632961. The reversal of 73306632960 is 6923660337.

73306632960 is a `hidden beast` number, since 7 + 3 + 3 + 0 + 6 + 632 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (73306632961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 368374941 + ... + 368375139.

It is an arithmetic number, because the mean of its divisors is an integer number (222591600).

Almost surely, 2^73306632960 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 73306632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160265952000).

73306632960 is an abundant number, since it is smaller than the sum of its proper divisors (247225271040).

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

73306632960 is a wasteful number, since it uses less digits than its factorization.

73306632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

It can be divided in two parts, 73306 and 632960, that added together give a triangular number (706266 = T₁₁₈₈).

The spelling of 73306632960 in words is "seventy-three billion, three hundred six million, six hundred thirty-two thousand, nine hundred sixty".