90626461440 has 576 divisors, whose sum is σ = 333141258240. Its totient is φ = 20844380160.

The previous prime is 90626461433. The next prime is 90626461441. The reversal of 90626461440 is 4416462609.

It is a junction number, because it is equal to n+sod(n) for n = 90626461392 and 90626461401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90626461441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38448742 + ... + 38451098.

It is an arithmetic number, because the mean of its divisors is an integer number (578370240).

Almost surely, 2^90626461440 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 90626461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166570629120).

90626461440 is an abundant number, since it is smaller than the sum of its proper divisors (242514796800).

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

90626461440 is a wasteful number, since it uses less digits than its factorization.

90626461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 90626461440 in words is "ninety billion, six hundred twenty-six million, four hundred sixty-one thousand, four hundred forty".