73604047721760 has 288 divisors, whose sum is σ = 253182272458752. Its totient is φ = 19470834432000.

The previous prime is 73604047721749. The next prime is 73604047721761. The reversal of 73604047721760 is 6712774040637.

73604047721760 is a `hidden beast` number, since 7 + 3 + 60 + 40 + 477 + 2 + 1 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 73604047721697 and 73604047721706.

It is not an unprimeable number, because it can be changed into a prime (73604047721761) 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, 1920403717 + ... + 1920442043.

It is an arithmetic number, because the mean of its divisors is an integer number (879105112704).

Almost surely, 2^{73604047721760} 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 73604047721760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126591136229376).

73604047721760 is an abundant number, since it is smaller than the sum of its proper divisors (179578224736992).

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

73604047721760 is a wasteful number, since it uses less digits than its factorization.

73604047721760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48976 (or 48965 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 73604047721760 in words is "seventy-three trillion, six hundred four billion, forty-seven million, seven hundred twenty-one thousand, seven hundred sixty".