90074739026688 has 288 divisors, whose sum is σ = 258996136089600. Its totient is φ = 27626849107968.

The previous prime is 90074739026663. The next prime is 90074739026719. The reversal of 90074739026688 is 88662093747009.

It is a super-2 number, since 2×90074739026688² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4528862248 + ... + 4528882136.

It is an arithmetic number, because the mean of its divisors is an integer number (899292139200).

Almost surely, 2^{90074739026688} 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 90074739026688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129498068044800).

90074739026688 is an abundant number, since it is smaller than the sum of its proper divisors (168921397062912).

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

90074739026688 is a wasteful number, since it uses less digits than its factorization.

90074739026688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21347 (or 21333 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 69.

The spelling of 90074739026688 in words is "ninety trillion, seventy-four billion, seven hundred thirty-nine million, twenty-six thousand, six hundred eighty-eight".