9689137920 has 864 divisors, whose sum is σ = 43322334720. Its totient is φ = 2007244800.

The previous prime is 9689137907. The next prime is 9689137921. The reversal of 9689137920 is 297319869.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (9689137921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29272155 + ... + 29272485.

Almost surely, 2^9689137920 is an apocalyptic number.

9689137920 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 9689137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21661167360).

9689137920 is an abundant number, since it is smaller than the sum of its proper divisors (33633196800).

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

9689137920 is a wasteful number, since it uses less digits than its factorization.

9689137920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 9689137920 is about 98433.4187153936. The cubic root of 9689137920 is about 2131.8748816300.

The spelling of 9689137920 in words is "nine billion, six hundred eighty-nine million, one hundred thirty-seven thousand, nine hundred twenty".