9506739456 has 216 divisors, whose sum is σ = 29168403264. Its totient is φ = 2967552000.

The previous prime is 9506739421. The next prime is 9506739457. The reversal of 9506739456 is 6549376059.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9506739457) 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 23 ways as a sum of consecutive naturals, for example, 9830685 + ... + 9831651.

It is an arithmetic number, because the mean of its divisors is an integer number (135038904).

Almost surely, 2^9506739456 is an apocalyptic number.

9506739456 is a gapful number since it is divisible by the number (96) 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 9506739456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14584201632).

9506739456 is an abundant number, since it is smaller than the sum of its proper divisors (19661663808).

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

9506739456 is a wasteful number, since it uses less digits than its factorization.

9506739456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The square root of 9506739456 is about 97502.5099984611. The cubic root of 9506739456 is about 2118.4125008770.

The spelling of 9506739456 in words is "nine billion, five hundred six million, seven hundred thirty-nine thousand, four hundred fifty-six".