90618323927040 has 3456 divisors, whose sum is σ = 414229896138240. Its totient is φ = 18602728095744.

The previous prime is 90618323926987. The next prime is 90618323927083. The reversal of 90618323927040 is 4072932381609.

90618323927040 is a `hidden beast` number, since 9 + 0 + 6 + 1 + 8 + 323 + 9 + 270 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 2449143889902 + ... + 2449143889938.

It is an arithmetic number, because the mean of its divisors is an integer number (119858187540).

Almost surely, 2^{90618323927040} is an apocalyptic number.

90618323927040 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 90618323927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207114948069120).

90618323927040 is an abundant number, since it is smaller than the sum of its proper divisors (323611572211200).

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

90618323927040 is an frugal number, since it uses more digits than its factorization.

90618323927040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 90618323927040 in words is "ninety trillion, six hundred eighteen billion, three hundred twenty-three million, nine hundred twenty-seven thousand, forty".