6875527680 has 480 divisors, whose sum is σ = 27576806400. Its totient is φ = 1550647296.

The previous prime is 6875527679. The next prime is 6875527693. The reversal of 6875527680 is 867255786.

6875527680 is a `hidden beast` number, since 6 + 8 + 7 + 552 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14353681 + ... + 14354159.

It is an arithmetic number, because the mean of its divisors is an integer number (57451680).

Almost surely, 2^6875527680 is an apocalyptic number.

6875527680 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 6875527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13788403200).

6875527680 is an abundant number, since it is smaller than the sum of its proper divisors (20701278720).

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

6875527680 is a wasteful number, since it uses less digits than its factorization.

6875527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The square root of 6875527680 is about 82918.8017279555. The cubic root of 6875527680 is about 1901.5248774259.

The spelling of 6875527680 in words is "six billion, eight hundred seventy-five million, five hundred twenty-seven thousand, six hundred eighty".