9210064500 has 1152 divisors, whose sum is σ = 40066790400. Its totient is φ = 1828915200.

The previous prime is 9210064489. The next prime is 9210064537. The reversal of 9210064500 is 54600129.

9210064500 is a `hidden beast` number, since 9 + 2 + 10 + 0 + 645 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 541768492 + ... + 541768508.

It is an arithmetic number, because the mean of its divisors is an integer number (34780200).

Almost surely, 2^9210064500 is an apocalyptic number.

9210064500 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 9210064500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20033395200).

9210064500 is an abundant number, since it is smaller than the sum of its proper divisors (30856725900).

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

9210064500 is a wasteful number, since it uses less digits than its factorization.

9210064500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 9210064500 is about 95969.0809584003. The cubic root of 9210064500 is about 2096.1429200201.

Adding to 9210064500 its reverse (54600129), we get a palindrome (9264664629).

The spelling of 9210064500 in words is "nine billion, two hundred ten million, sixty-four thousand, five hundred".