6905712000 has 768 divisors, whose sum is σ = 26665329600. Its totient is φ = 1576960000.

The previous prime is 6905711987. The next prime is 6905712007. The reversal of 6905712000 is 2175096.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6905712007) 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, 168431980 + ... + 168432020.

Almost surely, 2^6905712000 is an apocalyptic number.

6905712000 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 6905712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13332664800).

6905712000 is an abundant number, since it is smaller than the sum of its proper divisors (19759617600).

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

6905712000 is a wasteful number, since it uses less digits than its factorization.

6905712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 6905712000 is about 83100.6137161453. The cubic root of 6905712000 is about 1904.3034495050.

Adding to 6905712000 its reverse (2175096), we get a palindrome (6907887096).

The spelling of 6905712000 in words is "six billion, nine hundred five million, seven hundred twelve thousand".