6506797000 has 256 divisors, whose sum is σ = 17683660800. Its totient is φ = 2216160000.

The previous prime is 6506796997. The next prime is 6506797013. The reversal of 6506797000 is 7976056.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34066905 + ... + 34067095.

It is an arithmetic number, because the mean of its divisors is an integer number (69076800).

Almost surely, 2^6506797000 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 6506797000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8841830400).

6506797000 is an abundant number, since it is smaller than the sum of its proper divisors (11176863800).

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

6506797000 is a wasteful number, since it uses less digits than its factorization.

6506797000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 40.

The square root of 6506797000 is about 80664.7196734731. The cubic root of 6506797000 is about 1866.9058614968.

The spelling of 6506797000 in words is "six billion, five hundred six million, seven hundred ninety-seven thousand".