6579802865664 has 1512 divisors, whose sum is σ = 25062732834048. Its totient is φ = 1712282664960.

The previous prime is 6579802865627. The next prime is 6579802865683. The reversal of 6579802865664 is 4665682089756.

6579802865664 is a `hidden beast` number, since 6 + 57 + 9 + 8 + 0 + 2 + 8 + 6 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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 = 6579802865592 and 6579802865601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 212251705329 + ... + 212251705359.

It is an arithmetic number, because the mean of its divisors is an integer number (16575881504).

Almost surely, 2^{6579802865664} is an apocalyptic number.

6579802865664 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 6579802865664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12531366417024).

6579802865664 is an abundant number, since it is smaller than the sum of its proper divisors (18482929968384).

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

6579802865664 is an frugal number, since it uses more digits than its factorization.

6579802865664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 6579802865664 in words is "six trillion, five hundred seventy-nine billion, eight hundred two million, eight hundred sixty-five thousand, six hundred sixty-four".