73328603760 has 240 divisors, whose sum is σ = 261728962560. Its totient is φ = 18334801920.

The previous prime is 73328603737. The next prime is 73328603767. The reversal of 73328603760 is 6730682337.

73328603760 is a `hidden beast` number, since 7 + 3 + 32 + 8 + 603 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×73328603760² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73328603767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3281425 + ... + 3303695.

It is an arithmetic number, because the mean of its divisors is an integer number (1090537344).

Almost surely, 2^73328603760 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 73328603760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130864481280).

73328603760 is an abundant number, since it is smaller than the sum of its proper divisors (188400358800).

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

73328603760 is a wasteful number, since it uses less digits than its factorization.

73328603760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22576 (or 22567 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 73328603760 in words is "seventy-three billion, three hundred twenty-eight million, six hundred three thousand, seven hundred sixty".