90664741440 has 1344 divisors, whose sum is σ = 407398118400. Its totient is φ = 18091966464.

The previous prime is 90664741421. The next prime is 90664741441. The reversal of 90664741440 is 4414746609.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (90664741441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1018704916 + ... + 1018705004.

It is an arithmetic number, because the mean of its divisors is an integer number (303123600).

Almost surely, 2^90664741440 is an apocalyptic number.

90664741440 is a gapful number since it is divisible by the number (90) 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 90664741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203699059200).

90664741440 is an abundant number, since it is smaller than the sum of its proper divisors (316733376960).

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

90664741440 is a wasteful number, since it uses less digits than its factorization.

90664741440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 90664741440 in words is "ninety billion, six hundred sixty-four million, seven hundred forty-one thousand, four hundred forty".