73561753342080 has 512 divisors, whose sum is σ = 261033969772800. Its totient is φ = 19578659143680.

The previous prime is 73561753342039. The next prime is 73561753342139. The reversal of 73561753342080 is 8024335716537.

73561753342080 is a `hidden beast` number, since 7 + 3 + 5 + 6 + 1 + 7 + 533 + 4 + 20 + 80 = 666.

It is a super-2 number, since 2×73561753342080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36470873232 + ... + 36470875248.

Almost surely, 2^{73561753342080} 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 73561753342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130516984886400).

73561753342080 is an abundant number, since it is smaller than the sum of its proper divisors (187472216430720).

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

73561753342080 is a wasteful number, since it uses less digits than its factorization.

73561753342080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5069 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 73561753342080 in words is "seventy-three trillion, five hundred sixty-one billion, seven hundred fifty-three million, three hundred forty-two thousand, eighty".