73090966848 has 224 divisors, whose sum is σ = 207868723200. Its totient is φ = 22598424576.

The previous prime is 73090966847. The next prime is 73090966849. The reversal of 73090966848 is 84866909037.

It is an interprime number because it is at equal distance from previous prime (73090966847) and next prime (73090966849).

It is a junction number, because it is equal to n+sod(n) for n = 73090966791 and 73090966800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73090966847) by changing a digit.

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, 36599386 + ... + 36601382.

Almost surely, 2^73090966848 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 73090966848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103934361600).

73090966848 is an abundant number, since it is smaller than the sum of its proper divisors (134777756352).

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

73090966848 is a wasteful number, since it uses less digits than its factorization.

73090966848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 73090966848 in words is "seventy-three billion, ninety million, nine hundred sixty-six thousand, eight hundred forty-eight".