6406397000 has 128 divisors (see below), whose sum is σ = 15911251200. Its totient is φ = 2409088000.

The previous prime is 6406396979. The next prime is 6406397051. The reversal of 6406397000 is 7936046.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1354640 + ... + 1359360.

It is an arithmetic number, because the mean of its divisors is an integer number (124306650).

Almost surely, 2^6406397000 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 6406397000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7955625600).

6406397000 is an abundant number, since it is smaller than the sum of its proper divisors (9504854200).

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

6406397000 is a wasteful number, since it uses less digits than its factorization.

6406397000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4824 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 6406397000 is about 80039.9712643627. The cubic root of 6406397000 is about 1857.2539158718.

The spelling of 6406397000 in words is "six billion, four hundred six million, three hundred ninety-seven thousand".