90094663360 has 336 divisors, whose sum is σ = 247674347424. Its totient is φ = 31023562752.

The previous prime is 90094663349. The next prime is 90094663361. The reversal of 90094663360 is 6336649009.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 90094663360.

It is not an unprimeable number, because it can be changed into a prime (90094663361) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 164706607 + ... + 164707153.

It is an arithmetic number, because the mean of its divisors is an integer number (737126034).

Almost surely, 2^90094663360 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 90094663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123837173712).

90094663360 is an abundant number, since it is smaller than the sum of its proper divisors (157579684064).

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

90094663360 is a wasteful number, since it uses less digits than its factorization.

90094663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 46.

The spelling of 90094663360 in words is "ninety billion, ninety-four million, six hundred sixty-three thousand, three hundred sixty".