9672505920 has 1344 divisors, whose sum is σ = 45365944320. Its totient is φ = 1916006400.

The previous prime is 9672505919. The next prime is 9672505949. The reversal of 9672505920 is 295052769.

9672505920 is a `hidden beast` number, since 9 + 6 + 7 + 2 + 50 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 144365727 + ... + 144365793.

Almost surely, 2^9672505920 is an apocalyptic number.

9672505920 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 9672505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22682972160).

9672505920 is an abundant number, since it is smaller than the sum of its proper divisors (35693438400).

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

9672505920 is a wasteful number, since it uses less digits than its factorization.

9672505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 9672505920 is about 98348.8989262208. The cubic root of 9672505920 is about 2130.6543516259.

The spelling of 9672505920 in words is "nine billion, six hundred seventy-two million, five hundred five thousand, nine hundred twenty".