73117708560 has 1280 divisors, whose sum is σ = 305020477440. Its totient is φ = 16124313600.

The previous prime is 73117708553. The next prime is 73117708589. The reversal of 73117708560 is 6580771137.

73117708560 is a `hidden beast` number, since 7 + 3 + 1 + 17 + 70 + 8 + 560 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1198650930 + ... + 1198650990.

It is an arithmetic number, because the mean of its divisors is an integer number (238297248).

Almost surely, 2^73117708560 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 73117708560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152510238720).

73117708560 is an abundant number, since it is smaller than the sum of its proper divisors (231902768880).

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

73117708560 is a wasteful number, since it uses less digits than its factorization.

73117708560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 73117708560 in words is "seventy-three billion, one hundred seventeen million, seven hundred eight thousand, five hundred sixty".