6677381587968 has 1584 divisors, whose sum is σ = 25353581285760. Its totient is φ = 1739705942016.

The previous prime is 6677381587957. The next prime is 6677381587973. The reversal of 6677381587968 is 8697851837766.

It is a happy number.

6677381587968 is a `hidden beast` number, since 6 + 6 + 77 + 381 + 5 + 87 + 96 + 8 = 666.

It is a Cunningham number, because it is equal to 2584063²-1.

It is a Harshad number since it is a multiple of its sum of digits (81).

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, 16326116148 + ... + 16326116556.

Almost surely, 2^{6677381587968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6677381587968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12676790642880).

6677381587968 is an abundant number, since it is smaller than the sum of its proper divisors (18676199697792).

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

6677381587968 is a wasteful number, since it uses less digits than its factorization.

6677381587968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 537 counting only the distinct ones).

The product of its digits is 5120962560, while the sum is 81.

The spelling of 6677381587968 in words is "six trillion, six hundred seventy-seven billion, three hundred eighty-one million, five hundred eighty-seven thousand, nine hundred sixty-eight".