6880547520 has 1344 divisors, whose sum is σ = 32865730560. Its totient is φ = 1277337600.

The previous prime is 6880547483. The next prime is 6880547561. The reversal of 6880547520 is 257450886.

6880547520 is a `hidden beast` number, since 6 + 8 + 80 + 5 + 47 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×6880547520³ (a number of 30 digits) contains 333 as substring.

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

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, 96909085 + ... + 96909155.

Almost surely, 2^6880547520 is an apocalyptic number.

6880547520 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 6880547520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16432865280).

6880547520 is an abundant number, since it is smaller than the sum of its proper divisors (25985183040).

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

6880547520 is a wasteful number, since it uses less digits than its factorization.

6880547520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 6880547520 is about 82949.0658175244. The cubic root of 6880547520 is about 1901.9875342090.

The spelling of 6880547520 in words is "six billion, eight hundred eighty million, five hundred forty-seven thousand, five hundred twenty".