90090840762 has 120 divisors (see below), whose sum is σ = 230099427360. Its totient is φ = 26261146080.

The previous prime is 90090840761. The next prime is 90090840767. The reversal of 90090840762 is 26704809009.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (90090840761) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 433587 + ... + 606777.

It is an arithmetic number, because the mean of its divisors is an integer number (1917495228).

Almost surely, 2^90090840762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90090840762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115049713680).

90090840762 is an abundant number, since it is smaller than the sum of its proper divisors (140008586598).

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

90090840762 is a wasteful number, since it uses less digits than its factorization.

90090840762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173250 (or 173228 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 90090840762 in words is "ninety billion, ninety million, eight hundred forty thousand, seven hundred sixty-two".