6785064000 has 672 divisors, whose sum is σ = 28557809280. Its totient is φ = 1516032000.

The previous prime is 6785063993. The next prime is 6785064007. The reversal of 6785064000 is 4605876.

It is a happy number.

6785064000 is a `hidden beast` number, since 6 + 7 + 8 + 5 + 0 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6785063993) and next prime (6785064007).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (6785064007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10295671 + ... + 10296329.

It is an arithmetic number, because the mean of its divisors is an integer number (42496740).

Almost surely, 2^6785064000 is an apocalyptic number.

6785064000 is a gapful number since it is divisible by the number (60) 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 6785064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14278904640).

6785064000 is an abundant number, since it is smaller than the sum of its proper divisors (21772745280).

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

6785064000 is a wasteful number, since it uses less digits than its factorization.

6785064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6785064000 is about 82371.4999256418. The cubic root of 6785064000 is about 1893.1483596761.

Adding to 6785064000 its reverse (4605876), we get a palindrome (6789669876).

The spelling of 6785064000 in words is "six billion, seven hundred eighty-five million, sixty-four thousand".