9200412864 has 280 divisors, whose sum is σ = 29707484400. Its totient is φ = 2804336640.

The previous prime is 9200412853. The next prime is 9200412877. The reversal of 9200412864 is 4682140029.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2854774 + ... + 2857994.

Almost surely, 2^9200412864 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 9200412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14853742200).

9200412864 is an abundant number, since it is smaller than the sum of its proper divisors (20507071536).

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

9200412864 is a wasteful number, since it uses less digits than its factorization.

9200412864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 9200412864 is about 95918.7826444852. The cubic root of 9200412864 is about 2095.4104503164.

The spelling of 9200412864 in words is "nine billion, two hundred million, four hundred twelve thousand, eight hundred sixty-four".