906400000000 has 432 divisors, whose sum is σ = 2495389347360. Its totient is φ = 326400000000.

The previous prime is 906399999997. The next prime is 906400000027. The reversal of 906400000000 is 4609.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8799999949 + ... + 8800000051.

It is an arithmetic number, because the mean of its divisors is an integer number (5776364230).

Almost surely, 2^906400000000 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 906400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247694673680).

906400000000 is an abundant number, since it is smaller than the sum of its proper divisors (1588989347360).

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

906400000000 is an frugal number, since it uses more digits than its factorization.

906400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 906400000000 its reverse (4609), we get a palindrome (906400004609).

The spelling of 906400000000 in words is "nine hundred six billion, four hundred million", and thus it is an aban number.