9663675840 has 1120 divisors, whose sum is σ = 44982774144. Its totient is φ = 1911029760.

The previous prime is 9663675817. The next prime is 9663675913. The reversal of 9663675840 is 485763669.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40098120 + ... + 40098360.

Almost surely, 2^9663675840 is an apocalyptic number.

9663675840 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 9663675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22491387072).

9663675840 is an abundant number, since it is smaller than the sum of its proper divisors (35319098304).

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

9663675840 is a wasteful number, since it uses less digits than its factorization.

9663675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 9663675840 is about 98303.9970703125. The cubic root of 9663675840 is about 2130.0057924857.

The spelling of 9663675840 in words is "nine billion, six hundred sixty-three million, six hundred seventy-five thousand, eight hundred forty".