73645728313680 has 240 divisors, whose sum is σ = 255412601832960. Its totient is φ = 18997353446400.

The previous prime is 73645728313643. The next prime is 73645728313693. The reversal of 73645728313680 is 8631382754637.

73645728313680 is a `hidden beast` number, since 7 + 36 + 457 + 2 + 83 + 13 + 68 + 0 = 666.

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

It is a congruent number.

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, 52451031 + ... + 53836809.

It is an arithmetic number, because the mean of its divisors is an integer number (1064219174304).

Almost surely, 2^{73645728313680} 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 73645728313680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127706300916480).

73645728313680 is an abundant number, since it is smaller than the sum of its proper divisors (181766873519280).

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

73645728313680 is a wasteful number, since it uses less digits than its factorization.

73645728313680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388210 (or 1388201 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 73645728313680 in words is "seventy-three trillion, six hundred forty-five billion, seven hundred twenty-eight million, three hundred thirteen thousand, six hundred eighty".