9669247409664 has 640 divisors, whose sum is σ = 31552763172480. Its totient is φ = 2910880530432.

The previous prime is 9669247409617. The next prime is 9669247409707. The reversal of 9669247409664 is 4669047429669.

9669247409664 is a `hidden beast` number, since 9 + 6 + 6 + 9 + 2 + 474 + 0 + 96 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9669247409592 and 9669247409601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 634748992 + ... + 634764224.

It is an arithmetic number, because the mean of its divisors is an integer number (49301192457).

Almost surely, 2^{9669247409664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9669247409664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15776381586240).

9669247409664 is an abundant number, since it is smaller than the sum of its proper divisors (21883515762816).

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

9669247409664 is a wasteful number, since it uses less digits than its factorization.

9669247409664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15387 (or 15365 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 9669247409664 in words is "nine trillion, six hundred sixty-nine billion, two hundred forty-seven million, four hundred nine thousand, six hundred sixty-four".