73106164656 has 480 divisors, whose sum is σ = 258872002560. Its totient is φ = 19660838400.

The previous prime is 73106164643. The next prime is 73106164657. The reversal of 73106164656 is 65646160137.

73106164656 is a `hidden beast` number, since 73 + 106 + 16 + 465 + 6 = 666.

It is a super-2 number, since 2×73106164656² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73106164657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24278191 + ... + 24281201.

It is an arithmetic number, because the mean of its divisors is an integer number (539316672).

Almost surely, 2^73106164656 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 73106164656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129436001280).

73106164656 is an abundant number, since it is smaller than the sum of its proper divisors (185765837904).

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

73106164656 is a wasteful number, since it uses less digits than its factorization.

73106164656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 73106164656 in words is "seventy-three billion, one hundred six million, one hundred sixty-four thousand, six hundred fifty-six".