6771064596480 has 1152 divisors, whose sum is σ = 26214413097600. Its totient is φ = 1669985206272.

The previous prime is 6771064596451. The next prime is 6771064596509. The reversal of 6771064596480 is 846954601776.

It is a happy number.

6771064596480 is a `hidden beast` number, since 6 + 7 + 7 + 1 + 0 + 64 + 5 + 96 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (6771064596451) and next prime (6771064596509).

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2495783604 + ... + 2495786316.

It is an arithmetic number, because the mean of its divisors is an integer number (22755566925).

Almost surely, 2^{6771064596480} is an apocalyptic number.

6771064596480 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 6771064596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13107206548800).

6771064596480 is an abundant number, since it is smaller than the sum of its proper divisors (19443348501120).

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

6771064596480 is a wasteful number, since it uses less digits than its factorization.

6771064596480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 6771064596480 in words is "six trillion, seven hundred seventy-one billion, sixty-four million, five hundred ninety-six thousand, four hundred eighty".