9689621760 has 1080 divisors, whose sum is σ = 43449880320. Its totient is φ = 2018525184.

The previous prime is 9689621719. The next prime is 9689621783. The reversal of 9689621760 is 671269869.

9689621760 is a `hidden beast` number, since 9 + 6 + 8 + 9 + 621 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9689621697 and 9689621706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 122653401 + ... + 122653479.

Almost surely, 2^9689621760 is an apocalyptic number.

9689621760 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 9689621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21724940160).

9689621760 is an abundant number, since it is smaller than the sum of its proper divisors (33760258560).

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

9689621760 is a wasteful number, since it uses less digits than its factorization.

9689621760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 9689621760 is about 98435.8763866102. The cubic root of 9689621760 is about 2131.9103670428.

The spelling of 9689621760 in words is "nine billion, six hundred eighty-nine million, six hundred twenty-one thousand, seven hundred sixty".