90068730336 has 288 divisors, whose sum is σ = 296434258848. Its totient is φ = 25692733440.

The previous prime is 90068730331. The next prime is 90068730337. The reversal of 90068730336 is 63303786009.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×90068730336² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90068730291 and 90068730300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90068730331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4253856 + ... + 4274976.

It is an arithmetic number, because the mean of its divisors is an integer number (1029285621).

Almost surely, 2^90068730336 is an apocalyptic number.

90068730336 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90068730336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148217129424).

90068730336 is an abundant number, since it is smaller than the sum of its proper divisors (206365528512).

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

90068730336 is a wasteful number, since it uses less digits than its factorization.

90068730336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21234 (or 21223 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 90068730336 in words is "ninety billion, sixty-eight million, seven hundred thirty thousand, three hundred thirty-six".