9687636088416 has 720 divisors, whose sum is σ = 33828410246400. Its totient is φ = 2695944176640.

The previous prime is 9687636088411. The next prime is 9687636088423. The reversal of 9687636088416 is 6148806367869.

9687636088416 is a `hidden beast` number, since 9 + 6 + 8 + 7 + 6 + 3 + 608 + 8 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9687636088411) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 958882021 + ... + 958892123.

It is an arithmetic number, because the mean of its divisors is an integer number (46983903120).

Almost surely, 2^{9687636088416} is an apocalyptic number.

9687636088416 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 9687636088416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16914205123200).

9687636088416 is an abundant number, since it is smaller than the sum of its proper divisors (24140774157984).

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

9687636088416 is a wasteful number, since it uses less digits than its factorization.

9687636088416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10361 (or 10331 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 9687636088416 in words is "nine trillion, six hundred eighty-seven billion, six hundred thirty-six million, eighty-eight thousand, four hundred sixteen".