9672557760 has 448 divisors, whose sum is σ = 35581132800. Its totient is φ = 2471399424.

The previous prime is 9672557689. The next prime is 9672557761. The reversal of 9672557760 is 677552769.

9672557760 is a `hidden beast` number, since 9 + 6 + 7 + 2 + 5 + 577 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9672557697 and 9672557706.

It is not an unprimeable number, because it can be changed into a prime (9672557761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25254529 + ... + 25254911.

Almost surely, 2^9672557760 is an apocalyptic number.

9672557760 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 9672557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17790566400).

9672557760 is an abundant number, since it is smaller than the sum of its proper divisors (25908575040).

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

9672557760 is a wasteful number, since it uses less digits than its factorization.

9672557760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The square root of 9672557760 is about 98349.1624773694. The cubic root of 9672557760 is about 2130.6581580481.

The spelling of 9672557760 in words is "nine billion, six hundred seventy-two million, five hundred fifty-seven thousand, seven hundred sixty".