6895746000 has 1280 divisors, whose sum is σ = 31198003200. Its totient is φ = 1430784000.

The previous prime is 6895745999. The next prime is 6895746017. The reversal of 6895746000 is 6475986.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 146717977 + ... + 146718023.

It is an arithmetic number, because the mean of its divisors is an integer number (24373440).

Almost surely, 2^6895746000 is an apocalyptic number.

6895746000 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 6895746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15599001600).

6895746000 is an abundant number, since it is smaller than the sum of its proper divisors (24302257200).

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

6895746000 is a wasteful number, since it uses less digits than its factorization.

6895746000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6895746000 is about 83040.6286103375. The cubic root of 6895746000 is about 1903.3869413047.

The spelling of 6895746000 in words is "six billion, eight hundred ninety-five million, seven hundred forty-six thousand".