9638336640 has 64 divisors (see below), whose sum is σ = 30722204160. Its totient is φ = 2570222592.

The previous prime is 9638336639. The next prime is 9638336641. The reversal of 9638336640 is 466338369.

It is an interprime number because it is at equal distance from previous prime (9638336639) and next prime (9638336641).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9638336640.

It is not an unprimeable number, because it can be changed into a prime (9638336641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2508064 + ... + 2511903.

It is an arithmetic number, because the mean of its divisors is an integer number (480034440).

Almost surely, 2^9638336640 is an apocalyptic number.

It is an amenable number.

9638336640 is an abundant number, since it is smaller than the sum of its proper divisors (21083867520).

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

9638336640 is a wasteful number, since it uses less digits than its factorization.

9638336640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5019989 (or 5019977 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 48.

The square root of 9638336640 is about 98175.0306340670. The cubic root of 9638336640 is about 2128.1424613013.

The spelling of 9638336640 in words is "nine billion, six hundred thirty-eight million, three hundred thirty-six thousand, six hundred forty".