9356256000 has 1728 divisors, whose sum is σ = 45801624960. Its totient is φ = 1857945600.

The previous prime is 9356255969. The next prime is 9356256029. The reversal of 9356256000 is 6526539.

9356256000 is a `hidden beast` number, since 9 + 35 + 62 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 550367992 + ... + 550368008.

It is an arithmetic number, because the mean of its divisors is an integer number (26505570).

Almost surely, 2^9356256000 is an apocalyptic number.

9356256000 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 9356256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22900812480).

9356256000 is an abundant number, since it is smaller than the sum of its proper divisors (36445368960).

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

9356256000 is a wasteful number, since it uses less digits than its factorization.

9356256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 9356256000 is about 96727.7416256577. The cubic root of 9356256000 is about 2107.1754543869.

It can be divided in two parts, 9356 and 256000, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 9356256000 in words is "nine billion, three hundred fifty-six million, two hundred fifty-six thousand".