9664131456 has 384 divisors, whose sum is σ = 33354946560. Its totient is φ = 2627665920.

The previous prime is 9664131427. The next prime is 9664131469. The reversal of 9664131456 is 6541314669.

9664131456 is a `hidden beast` number, since 9 + 6 + 64 + 131 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16748640 + ... + 16749216.

It is an arithmetic number, because the mean of its divisors is an integer number (86861840).

Almost surely, 2^9664131456 is an apocalyptic number.

9664131456 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 9664131456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16677473280).

9664131456 is an abundant number, since it is smaller than the sum of its proper divisors (23690815104).

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

9664131456 is a wasteful number, since it uses less digits than its factorization.

9664131456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 687 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 9664131456 is about 98306.3144258801. The cubic root of 9664131456 is about 2130.0392666173.

The spelling of 9664131456 in words is "nine billion, six hundred sixty-four million, one hundred thirty-one thousand, four hundred fifty-six".