9546266400 has 576 divisors, whose sum is σ = 36121438080. Its totient is φ = 2167603200.

The previous prime is 9546266393. The next prime is 9546266413. The reversal of 9546266400 is 46626459.

It is a super-2 number, since 2×9546266400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28327032 + ... + 28327368.

It is an arithmetic number, because the mean of its divisors is an integer number (62710830).

Almost surely, 2^9546266400 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 9546266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18060719040).

9546266400 is an abundant number, since it is smaller than the sum of its proper divisors (26575171680).

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

9546266400 is a wasteful number, since it uses less digits than its factorization.

9546266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 9546266400 is about 97704.9968015966. The cubic root of 9546266400 is about 2121.3444065446.

The spelling of 9546266400 in words is "nine billion, five hundred forty-six million, two hundred sixty-six thousand, four hundred".