6895560672 has 1152 divisors, whose sum is σ = 29536980480. Its totient is φ = 1532805120.

The previous prime is 6895560667. The next prime is 6895560697. The reversal of 6895560672 is 2760655986.

It is a happy number.

6895560672 is a `hidden beast` number, since 6 + 8 + 9 + 5 + 560 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102918783 + ... + 102918849.

It is an arithmetic number, because the mean of its divisors is an integer number (25639740).

Almost surely, 2^6895560672 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 6895560672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14768490240).

6895560672 is an abundant number, since it is smaller than the sum of its proper divisors (22641419808).

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

6895560672 is a wasteful number, since it uses less digits than its factorization.

6895560672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 6895560672 is about 83039.5127153333. The cubic root of 6895560672 is about 1903.3698895332.

The spelling of 6895560672 in words is "six billion, eight hundred ninety-five million, five hundred sixty thousand, six hundred seventy-two".