90786968912640 has 2304 divisors, whose sum is σ = 400081458954240. Its totient is φ = 16937952215040.

The previous prime is 90786968912603. The next prime is 90786968912657. The reversal of 90786968912640 is 4621986968709.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21998294257 + ... + 21998298383.

It is an arithmetic number, because the mean of its divisors is an integer number (173646466560).

Almost surely, 2^{90786968912640} 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 90786968912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200040729477120).

90786968912640 is an abundant number, since it is smaller than the sum of its proper divisors (309294490041600).

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

90786968912640 is a wasteful number, since it uses less digits than its factorization.

90786968912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4338 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 75.

The spelling of 90786968912640 in words is "ninety trillion, seven hundred eighty-six billion, nine hundred sixty-eight million, nine hundred twelve thousand, six hundred forty".