9671695488000 has 4928 divisors, whose sum is σ = 47847807641088. Its totient is φ = 1891919462400.

The previous prime is 9671695487959. The next prime is 9671695488011. The reversal of 9671695488000 is 8845961769.

9671695488000 is a `hidden beast` number, since 9 + 6 + 7 + 1 + 6 + 9 + 548 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×9671695488000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 144353663967 + ... + 144353664033.

Almost surely, 2^{9671695488000} is an apocalyptic number.

9671695488000 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 9671695488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23923903820544).

9671695488000 is an abundant number, since it is smaller than the sum of its proper divisors (38176112153088).

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

9671695488000 is a wasteful number, since it uses less digits than its factorization.

9671695488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 9671695488000 in words is "nine trillion, six hundred seventy-one billion, six hundred ninety-five million, four hundred eighty-eight thousand".