9200816640 has 480 divisors, whose sum is σ = 33620723136. Its totient is φ = 2322432000.

The previous prime is 9200816617. The next prime is 9200816719. The reversal of 9200816640 is 466180029.

9200816640 is a `hidden beast` number, since 9 + 2 + 0 + 0 + 8 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 9200816595 and 9200816604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36656515 + ... + 36656765.

Almost surely, 2^9200816640 is an apocalyptic number.

9200816640 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 9200816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16810361568).

9200816640 is an abundant number, since it is smaller than the sum of its proper divisors (24419906496).

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

9200816640 is a wasteful number, since it uses less digits than its factorization.

9200816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9200816640 is about 95920.8874020669. The cubic root of 9200816640 is about 2095.4411034362.

Adding to 9200816640 its reverse (466180029), we get a palindrome (9666996669).

The spelling of 9200816640 in words is "nine billion, two hundred million, eight hundred sixteen thousand, six hundred forty".