9785362761216 has 320 divisors, whose sum is σ = 33123664949760. Its totient is φ = 2794094714880.

The previous prime is 9785362761211. The next prime is 9785362761217. The reversal of 9785362761216 is 6121672635879.

9785362761216 is a `hidden beast` number, since 9 + 7 + 8 + 5 + 3 + 6 + 2 + 7 + 612 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9785362761211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161281926 + ... + 161342586.

It is an arithmetic number, because the mean of its divisors is an integer number (103511452968).

Almost surely, 2^{9785362761216} is an apocalyptic number.

9785362761216 is a gapful number since it is divisible by the number (96) 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 9785362761216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16561832474880).

9785362761216 is an abundant number, since it is smaller than the sum of its proper divisors (23338302188544).

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

9785362761216 is a wasteful number, since it uses less digits than its factorization.

9785362761216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62362 (or 62340 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 9785362761216 in words is "nine trillion, seven hundred eighty-five billion, three hundred sixty-two million, seven hundred sixty-one thousand, two hundred sixteen".