9264900096 has 192 divisors, whose sum is σ = 27667785600. Its totient is φ = 3063250944.

The previous prime is 9264900083. The next prime is 9264900101. The reversal of 9264900096 is 6900094629.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7574941 + ... + 7576163.

It is an arithmetic number, because the mean of its divisors is an integer number (144103050).

Almost surely, 2^9264900096 is an apocalyptic number.

9264900096 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 9264900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13833892800).

9264900096 is an abundant number, since it is smaller than the sum of its proper divisors (18402885504).

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

9264900096 is a wasteful number, since it uses less digits than its factorization.

9264900096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 9264900096 is about 96254.3510497058. The cubic root of 9264900096 is about 2100.2947504644.

The spelling of 9264900096 in words is "nine billion, two hundred sixty-four million, nine hundred thousand, ninety-six".