9506804067072 has 1152 divisors, whose sum is σ = 32548946411520. Its totient is φ = 2714597867520.

The previous prime is 9506804067037. The next prime is 9506804067091. The reversal of 9506804067072 is 2707604086059.

9506804067072 is a `hidden beast` number, since 9 + 506 + 8 + 0 + 4 + 0 + 67 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9831234333 + ... + 9831235299.

It is an arithmetic number, because the mean of its divisors is an integer number (28254293760).

Almost surely, 2^{9506804067072} is an apocalyptic number.

9506804067072 is a gapful number since it is divisible by the number (92) 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 9506804067072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16274473205760).

9506804067072 is an abundant number, since it is smaller than the sum of its proper divisors (23042142344448).

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

9506804067072 is a wasteful number, since it uses less digits than its factorization.

9506804067072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 9506804067072 in words is "nine trillion, five hundred six billion, eight hundred four million, sixty-seven thousand, seventy-two".