6900461568 has 936 divisors, whose sum is σ = 28551073824. Its totient is φ = 1557135360.

The previous prime is 6900461479. The next prime is 6900461569. The reversal of 6900461568 is 8651640096.

It is a tau number, because it is divible by the number of its divisors (936).

It is not an unprimeable number, because it can be changed into a prime (6900461569) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 405909496 + ... + 405909512.

It is an arithmetic number, because the mean of its divisors is an integer number (30503284).

Almost surely, 2^6900461568 is an apocalyptic number.

6900461568 is a gapful number since it is divisible by the number (68) 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 6900461568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14275536912).

6900461568 is an abundant number, since it is smaller than the sum of its proper divisors (21650612256).

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

6900461568 is a wasteful number, since it uses less digits than its factorization.

6900461568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6900461568 is about 83069.0168955911. The cubic root of 6900461568 is about 1903.8207114093.

The spelling of 6900461568 in words is "six billion, nine hundred million, four hundred sixty-one thousand, five hundred sixty-eight".