73384636416 has 832 divisors, whose sum is σ = 260686110720. Its totient is φ = 17836277760.

The previous prime is 73384636399. The next prime is 73384636463. The reversal of 73384636416 is 61463648337.

It is a tau number, because it is divible by the number of its divisors (832).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1005268956 + ... + 1005269028.

Almost surely, 2^73384636416 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 73384636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130343055360).

73384636416 is an abundant number, since it is smaller than the sum of its proper divisors (187301474304).

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

73384636416 is a wasteful number, since it uses less digits than its factorization.

73384636416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 158 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 51.

The spelling of 73384636416 in words is "seventy-three billion, three hundred eighty-four million, six hundred thirty-six thousand, four hundred sixteen".