9465465672 has 192 divisors, whose sum is σ = 28835352000. Its totient is φ = 2784886272.

The previous prime is 9465465671. The next prime is 9465465673. The reversal of 9465465672 is 2765645649.

9465465672 is a `hidden beast` number, since 9 + 46 + 546 + 56 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (9465465671) and next prime (9465465673).

It is a super-3 number, since 3×9465465672³ (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9465465671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2902779 + ... + 2906037.

It is an arithmetic number, because the mean of its divisors is an integer number (150184125).

Almost surely, 2^9465465672 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 9465465672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14417676000).

9465465672 is an abundant number, since it is smaller than the sum of its proper divisors (19369886328).

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

9465465672 is a wasteful number, since it uses less digits than its factorization.

9465465672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3413 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The square root of 9465465672 is about 97290.6247898532. The cubic root of 9465465672 is about 2115.3423371549.

The spelling of 9465465672 in words is "nine billion, four hundred sixty-five million, four hundred sixty-five thousand, six hundred seventy-two".