90840781460 has 288 divisors, whose sum is σ = 247384277280. Its totient is φ = 27704033280.

The previous prime is 90840781379. The next prime is 90840781483. The reversal of 90840781460 is 6418704809.

It can be written as a sum of positive squares in 16 ways, for example, as 4490608144 + 86350173316 = 67012^2 + 293854^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15506852 + ... + 15512708.

It is an arithmetic number, because the mean of its divisors is an integer number (858973185).

Almost surely, 2^90840781460 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 90840781460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123692138640).

90840781460 is an abundant number, since it is smaller than the sum of its proper divisors (156543495820).

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

90840781460 is a wasteful number, since it uses less digits than its factorization.

90840781460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5947 (or 5934 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The spelling of 90840781460 in words is "ninety billion, eight hundred forty million, seven hundred eighty-one thousand, four hundred sixty".