9035616769920 has 640 divisors, whose sum is σ = 36260888811840. Its totient is φ = 2127445917696.

The previous prime is 9035616769813. The next prime is 9035616769931. The reversal of 9035616769920 is 299676165309.

9035616769920 is a `hidden beast` number, since 9 + 0 + 3 + 5 + 616 + 7 + 6 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15208692 + ... + 15791628.

Almost surely, 2^{9035616769920} is an apocalyptic number.

9035616769920 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 9035616769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18130444405920).

9035616769920 is an abundant number, since it is smaller than the sum of its proper divisors (27225272041920).

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

9035616769920 is a wasteful number, since it uses less digits than its factorization.

9035616769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583004 (or 582983 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 63.

The spelling of 9035616769920 in words is "nine trillion, thirty-five billion, six hundred sixteen million, seven hundred sixty-nine thousand, nine hundred twenty".