9507672720 has 720 divisors, whose sum is σ = 40875883776. Its totient is φ = 1928448000.

The previous prime is 9507672661. The next prime is 9507672731. The reversal of 9507672720 is 272767059.

9507672720 is a `hidden beast` number, since 9 + 507 + 6 + 72 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62964645 + ... + 62964795.

Almost surely, 2^9507672720 is an apocalyptic number.

9507672720 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 9507672720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20437941888).

9507672720 is an abundant number, since it is smaller than the sum of its proper divisors (31368211056).

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

9507672720 is a wasteful number, since it uses less digits than its factorization.

9507672720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 9507672720 is about 97507.2957270378. The cubic root of 9507672720 is about 2118.4818191903.

The spelling of 9507672720 in words is "nine billion, five hundred seven million, six hundred seventy-two thousand, seven hundred twenty".