6675487771680 has 1440 divisors, whose sum is σ = 29750418948096. Its totient is φ = 1397144899584.

The previous prime is 6675487771661. The next prime is 6675487771739. The reversal of 6675487771680 is 861777845766.

6675487771680 is a `hidden beast` number, since 6 + 6 + 7 + 548 + 7 + 7 + 71 + 6 + 8 + 0 = 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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 6675487771599 and 6675487771608.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1048447857 + ... + 1048454223.

Almost surely, 2^{6675487771680} is an apocalyptic number.

6675487771680 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 6675487771680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14875209474048).

6675487771680 is an abundant number, since it is smaller than the sum of its proper divisors (23074931176416).

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

6675487771680 is a wasteful number, since it uses less digits than its factorization.

6675487771680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6548 (or 6524 counting only the distinct ones).

The product of its (nonzero) digits is 663828480, while the sum is 72.

The spelling of 6675487771680 in words is "six trillion, six hundred seventy-five billion, four hundred eighty-seven million, seven hundred seventy-one thousand, six hundred eighty".