9064497960 has 576 divisors, whose sum is σ = 36806140800. Its totient is φ = 1889879040.

The previous prime is 9064497917. The next prime is 9064498043. The reversal of 9064497960 is 697944609.

9064497960 is a `hidden beast` number, since 9 + 0 + 64 + 497 + 96 + 0 = 666.

It is a super-3 number, since 3×9064497960³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9064497897 and 9064497906.

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, 46012582 + ... + 46012778.

It is an arithmetic number, because the mean of its divisors is an integer number (63899550).

Almost surely, 2^9064497960 is an apocalyptic number.

9064497960 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 9064497960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18403070400).

9064497960 is an abundant number, since it is smaller than the sum of its proper divisors (27741642840).

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

9064497960 is a wasteful number, since it uses less digits than its factorization.

9064497960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 9064497960 is about 95207.6570450087. The cubic root of 9064497960 is about 2085.0409322054.

The spelling of 9064497960 in words is "nine billion, sixty-four million, four hundred ninety-seven thousand, nine hundred sixty".