9461136960 has 448 divisors, whose sum is σ = 36890553600. Its totient is φ = 2291742720.

The previous prime is 9461136959. The next prime is 9461136967. The reversal of 9461136960 is 696311649.

It is a super-2 number, since 2×9461136960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9461136967) 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, 7697626 + ... + 7698854.

Almost surely, 2^9461136960 is an apocalyptic number.

9461136960 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 9461136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18445276800).

9461136960 is an abundant number, since it is smaller than the sum of its proper divisors (27429416640).

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

9461136960 is a wasteful number, since it uses less digits than its factorization.

9461136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 9461136960 is about 97268.3759502543. The cubic root of 9461136960 is about 2115.0198277906.

The spelling of 9461136960 in words is "nine billion, four hundred sixty-one million, one hundred thirty-six thousand, nine hundred sixty".