9460612546560 has 2520 divisors, whose sum is σ = 41007982024296. Its totient is φ = 2086844497920.

The previous prime is 9460612546543. The next prime is 9460612546591. The reversal of 9460612546560 is 656452160649.

9460612546560 is a `hidden beast` number, since 9 + 4 + 60 + 6 + 12 + 5 + 4 + 6 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 169138077696 + 9291474468864 = 411264^2 + 3048192^2 .

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×9460612546560² (a number of 27 digits) contains 22 as substring.

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 = 9460612546497 and 9460612546506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 155092008930 + ... + 155092008990.

Almost surely, 2^{9460612546560} is an apocalyptic number.

9460612546560 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 9460612546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20503991012148).

9460612546560 is an abundant number, since it is smaller than the sum of its proper divisors (31547369477736).

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

9460612546560 is an frugal number, since it uses more digits than its factorization.

9460612546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 9460612546560 in words is "nine trillion, four hundred sixty billion, six hundred twelve million, five hundred forty-six thousand, five hundred sixty".