90743530413624 has 384 divisors, whose sum is σ = 260024303616000. Its totient is φ = 26340297984000.

The previous prime is 90743530413559. The next prime is 90743530413649. The reversal of 90743530413624 is 42631403534709.

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, 11078439369 + ... + 11078447559.

It is an arithmetic number, because the mean of its divisors is an integer number (677146624000).

Almost surely, 2^{90743530413624} 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 90743530413624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130012151808000).

90743530413624 is an abundant number, since it is smaller than the sum of its proper divisors (169280773202376).

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

90743530413624 is a wasteful number, since it uses less digits than its factorization.

90743530413624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9491 (or 9476 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 51.

The spelling of 90743530413624 in words is "ninety trillion, seven hundred forty-three billion, five hundred thirty million, four hundred thirteen thousand, six hundred twenty-four".