73336634112 has 288 divisors, whose sum is σ = 235409932800. Its totient is φ = 19799506944.

The previous prime is 73336634087. The next prime is 73336634167. The reversal of 73336634112 is 21143663337.

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 56893564 + ... + 56894852.

It is an arithmetic number, because the mean of its divisors is an integer number (817395600).

Almost surely, 2^73336634112 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 73336634112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117704966400).

73336634112 is an abundant number, since it is smaller than the sum of its proper divisors (162073298688).

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

73336634112 is a wasteful number, since it uses less digits than its factorization.

73336634112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1877 counting only the distinct ones).

The product of its digits is 163296, while the sum is 39.

The spelling of 73336634112 in words is "seventy-three billion, three hundred thirty-six million, six hundred thirty-four thousand, one hundred twelve".