9068756400 has 540 divisors, whose sum is σ = 35092337280. Its totient is φ = 2166912000.

The previous prime is 9068756393. The next prime is 9068756407. The reversal of 9068756400 is 46578609.

9068756400 is a `hidden beast` number, since 9 + 0 + 6 + 87 + 564 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9068756393) and next prime (9068756407).

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 (9068756407) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 47480305 + ... + 47480495.

Almost surely, 2^9068756400 is an apocalyptic number.

9068756400 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 9068756400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17546168640).

9068756400 is an abundant number, since it is smaller than the sum of its proper divisors (26023580880).

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

9068756400 is a wasteful number, since it uses less digits than its factorization.

9068756400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 9068756400 is about 95230.0183765602. The cubic root of 9068756400 is about 2085.3673938096.

The spelling of 9068756400 in words is "nine billion, sixty-eight million, seven hundred fifty-six thousand, four hundred".