9675587376 has 960 divisors, whose sum is σ = 38217553920. Its totient is φ = 2299207680.

The previous prime is 9675587359. The next prime is 9675587377. The reversal of 9675587376 is 6737855769.

9675587376 is a `hidden beast` number, since 9 + 6 + 7 + 558 + 7 + 3 + 76 = 666.

It is a super-2 number, since 2×9675587376² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (9675587377) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 235989916 + ... + 235989956.

It is an arithmetic number, because the mean of its divisors is an integer number (39809952).

Almost surely, 2^9675587376 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 9675587376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19108776960).

9675587376 is an abundant number, since it is smaller than the sum of its proper divisors (28541966544).

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

9675587376 is a wasteful number, since it uses less digits than its factorization.

9675587376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its digits is 66679200, while the sum is 63.

The square root of 9675587376 is about 98364.5636192221. The cubic root of 9675587376 is about 2130.8805880877.

The spelling of 9675587376 in words is "nine billion, six hundred seventy-five million, five hundred eighty-seven thousand, three hundred seventy-six".