73359989760 has 176 divisors, whose sum is σ = 234871142400. Its totient is φ = 19543179264.

The previous prime is 73359989743. The next prime is 73359989771. The reversal of 73359989760 is 6798995337.

It is a junction number, because it is equal to n+sod(n) for n = 73359989691 and 73359989700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22101381 + ... + 22104699.

Almost surely, 2^73359989760 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 73359989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117435571200).

73359989760 is an abundant number, since it is smaller than the sum of its proper divisors (161511152640).

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

73359989760 is a wasteful number, since it uses less digits than its factorization.

73359989760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786 (or 4768 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 66.

The spelling of 73359989760 in words is "seventy-three billion, three hundred fifty-nine million, nine hundred eighty-nine thousand, seven hundred sixty".