6771488465664 has 216 divisors, whose sum is σ = 21313737070080. Its totient is φ = 2054992674816.

The previous prime is 6771488465653. The next prime is 6771488465683. The reversal of 6771488465664 is 4665648841776.

6771488465664 is a `hidden beast` number, since 6 + 7 + 7 + 14 + 8 + 8 + 46 + 566 + 4 = 666.

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 = 6771488465592 and 6771488465601.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638017 + ... + 3734975.

Almost surely, 2^{6771488465664} is an apocalyptic number.

6771488465664 is a gapful number since it is divisible by the number (64) 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 6771488465664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10656868535040).

6771488465664 is an abundant number, since it is smaller than the sum of its proper divisors (14542248604416).

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

6771488465664 is a wasteful number, since it uses less digits than its factorization.

6771488465664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097067 (or 3097050 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 72.

The spelling of 6771488465664 in words is "six trillion, seven hundred seventy-one billion, four hundred eighty-eight million, four hundred sixty-five thousand, six hundred sixty-four".