9956364460 has 96 divisors (see below), whose sum is σ = 24517624320. Its totient is φ = 3325744128.

The previous prime is 9956364443. The next prime is 9956364461. The reversal of 9956364460 is 644636599.

It is a super-3 number, since 3×9956364460³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9956364398 and 9956364407.

It is not an unprimeable number, because it can be changed into a prime (9956364461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 928047 + ... + 938713.

It is an arithmetic number, because the mean of its divisors is an integer number (255391920).

Almost surely, 2^9956364460 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 9956364460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12258812160).

9956364460 is an abundant number, since it is smaller than the sum of its proper divisors (14561259860).

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

9956364460 is a wasteful number, since it uses less digits than its factorization.

9956364460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10855 (or 10853 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 52.

The square root of 9956364460 is about 99781.5837717562. The cubic root of 9956364460 is about 2151.2964569430.

The spelling of 9956364460 in words is "nine billion, nine hundred fifty-six million, three hundred sixty-four thousand, four hundred sixty".