9609992064 has 256 divisors, whose sum is σ = 30825216000. Its totient is φ = 2936217600.

The previous prime is 9609992047. The next prime is 9609992081. The reversal of 9609992064 is 4602999069.

9609992064 is a `hidden beast` number, since 9 + 609 + 9 + 9 + 20 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (9609992047) and next prime (9609992081).

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

It is a self number, because there is not a number n which added to its sum of digits gives 9609992064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2033224 + ... + 2037944.

It is an arithmetic number, because the mean of its divisors is an integer number (120411000).

Almost surely, 2^9609992064 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 9609992064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15412608000).

9609992064 is an abundant number, since it is smaller than the sum of its proper divisors (21215223936).

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

9609992064 is a wasteful number, since it uses less digits than its factorization.

9609992064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4794 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The square root of 9609992064 is about 98030.5669880574. The cubic root of 9609992064 is about 2126.0542543812.

The spelling of 9609992064 in words is "nine billion, six hundred nine million, nine hundred ninety-two thousand, sixty-four".