9672711680 has 160 divisors (see below), whose sum is σ = 25223939136. Its totient is φ = 3542482944.

The previous prime is 9672711679. The next prime is 9672711689. The reversal of 9672711680 is 861172769.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×9672711680² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9672711689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1607237 + ... + 1613243.

Almost surely, 2^9672711680 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 9672711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12611969568).

9672711680 is an abundant number, since it is smaller than the sum of its proper divisors (15551227456).

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

9672711680 is a wasteful number, since it uses less digits than its factorization.

9672711680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6084 (or 6068 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 47.

The square root of 9672711680 is about 98349.9449923588. The cubic root of 9672711680 is about 2130.6694597525.

The spelling of 9672711680 in words is "nine billion, six hundred seventy-two million, seven hundred eleven thousand, six hundred eighty".