90768314000 has 640 divisors, whose sum is σ = 280782028800. Its totient is φ = 27621734400.

The previous prime is 90768313897. The next prime is 90768314003. The reversal of 90768314000 is 41386709.

It is not an unprimeable number, because it can be changed into a prime (90768314003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 848301947 + ... + 848302053.

It is an arithmetic number, because the mean of its divisors is an integer number (438721920).

Almost surely, 2^90768314000 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 90768314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140391014400).

90768314000 is an abundant number, since it is smaller than the sum of its proper divisors (190013714800).

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

90768314000 is a wasteful number, since it uses less digits than its factorization.

90768314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 90768314000 in words is "ninety billion, seven hundred sixty-eight million, three hundred fourteen thousand".