6895848960 has 1440 divisors, whose sum is σ = 33643703808. Its totient is φ = 1265172480.

The previous prime is 6895848931. The next prime is 6895848979. The reversal of 6895848960 is 698485986.

6895848960 is a `hidden beast` number, since 6 + 8 + 95 + 8 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 299819509 + ... + 299819531.

Almost surely, 2^6895848960 is an apocalyptic number.

6895848960 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 6895848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16821851904).

6895848960 is an abundant number, since it is smaller than the sum of its proper divisors (26747854848).

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

6895848960 is a wasteful number, since it uses less digits than its factorization.

6895848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The square root of 6895848960 is about 83041.2485455271. The cubic root of 6895848960 is about 1903.3964143791.

The spelling of 6895848960 in words is "six billion, eight hundred ninety-five million, eight hundred forty-eight thousand, nine hundred sixty".