6585663377664 has 720 divisors, whose sum is σ = 23901636705408. Its totient is φ = 1760583942144.

The previous prime is 6585663377633. The next prime is 6585663377707. The reversal of 6585663377664 is 4667733665856.

6585663377664 is a `hidden beast` number, since 6 + 58 + 566 + 3 + 3 + 7 + 7 + 6 + 6 + 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 = 6585663377592 and 6585663377601.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 426884319 + ... + 426899745.

Almost surely, 2^{6585663377664} is an apocalyptic number.

6585663377664 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 6585663377664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11950818352704).

6585663377664 is an abundant number, since it is smaller than the sum of its proper divisors (17315973327744).

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

6585663377664 is a wasteful number, since it uses less digits than its factorization.

6585663377664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15652 (or 15629 counting only the distinct ones).

The product of its digits is 2743372800, while the sum is 72.

The spelling of 6585663377664 in words is "six trillion, five hundred eighty-five billion, six hundred sixty-three million, three hundred seventy-seven thousand, six hundred sixty-four".