90673337959728 has 80 divisors (see below), whose sum is σ = 237780274528896. Its totient is φ = 29767735895040.

The previous prime is 90673337959723. The next prime is 90673337959793. The reversal of 90673337959728 is 82795973337609.

It is a super-3 number, since 3×90673337959728³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (90673337959723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14470408 + ... + 19767128.

Almost surely, 2^{90673337959728} 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 90673337959728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118890137264448).

90673337959728 is an abundant number, since it is smaller than the sum of its proper divisors (147106936569168).

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

90673337959728 is a wasteful number, since it uses less digits than its factorization.

90673337959728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5302122 (or 5302116 counting only the distinct ones).

The product of its (nonzero) digits is 3240609120, while the sum is 78.

The spelling of 90673337959728 in words is "ninety trillion, six hundred seventy-three billion, three hundred thirty-seven million, nine hundred fifty-nine thousand, seven hundred twenty-eight".