73139536080 has 240 divisors, whose sum is σ = 266092291920. Its totient is φ = 18003188736.

The previous prime is 73139536079. The next prime is 73139536109. The reversal of 73139536080 is 8063593137.

73139536080 is a `hidden beast` number, since 7 + 3 + 1 + 39 + 5 + 3 + 608 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 34324231824 + 38815304256 = 185268^2 + 197016^2 .

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

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

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, 1558722 + ... + 1604958.

It is an arithmetic number, because the mean of its divisors is an integer number (1108717883).

Almost surely, 2^73139536080 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 73139536080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133046145960).

73139536080 is an abundant number, since it is smaller than the sum of its proper divisors (192952755840).

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

73139536080 is a wasteful number, since it uses less digits than its factorization.

73139536080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46295 (or 46260 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 73139536080 in words is "seventy-three billion, one hundred thirty-nine million, five hundred thirty-six thousand, eighty".