73538870016 has 216 divisors, whose sum is σ = 207721083024. Its totient is φ = 23082106880.

The previous prime is 73538869973. The next prime is 73538870047. The reversal of 73538870016 is 61007883537.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 23 ways as a sum of consecutive naturals, for example, 26480020 + ... + 26482796.

Almost surely, 2^73538870016 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 73538870016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103860541512).

73538870016 is an abundant number, since it is smaller than the sum of its proper divisors (134182213008).

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

73538870016 is a wasteful number, since it uses less digits than its factorization.

73538870016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 73538870016 in words is "seventy-three billion, five hundred thirty-eight million, eight hundred seventy thousand, sixteen".