90664405440 has 448 divisors, whose sum is σ = 359584800768. Its totient is φ = 18874368000.

The previous prime is 90664405421. The next prime is 90664405453. The reversal of 90664405440 is 4450446609.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 90664405392 and 90664405401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3528640 + ... + 3554240.

Almost surely, 2^90664405440 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 90664405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179792400384).

90664405440 is an abundant number, since it is smaller than the sum of its proper divisors (268920395328).

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

90664405440 is a wasteful number, since it uses less digits than its factorization.

90664405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25676 (or 25666 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 90664405440 in words is "ninety billion, six hundred sixty-four million, four hundred five thousand, four hundred forty".