6880546632960 has 5184 divisors, whose sum is σ = 34911016358400. Its totient is φ = 1287556300800.

The previous prime is 6880546632941. The next prime is 6880546633019. The reversal of 6880546632960 is 692366450886.

6880546632960 is a `hidden beast` number, since 6 + 8 + 8 + 0 + 546 + 6 + 3 + 29 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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 575 ways as a sum of consecutive naturals, for example, 167818210540 + ... + 167818210580.

Almost surely, 2^{6880546632960} is an apocalyptic number.

6880546632960 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 6880546632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17455508179200).

6880546632960 is an abundant number, since it is smaller than the sum of its proper divisors (28030469725440).

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

6880546632960 is a wasteful number, since it uses less digits than its factorization.

6880546632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 6880546632960 in words is "six trillion, eight hundred eighty billion, five hundred forty-six million, six hundred thirty-two thousand, nine hundred sixty".