2686632689664 has 1024 divisors, whose sum is σ = 10041010560000. Its totient is φ = 689669406720.

The previous prime is 2686632689549. The next prime is 2686632689687. The reversal of 2686632689664 is 4669862366862.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2686632689592 and 2686632689601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7698087762 + ... + 7698088110.

It is an arithmetic number, because the mean of its divisors is an integer number (9805674375).

Almost surely, 2^{2686632689664} is an apocalyptic number.

2686632689664 is a gapful number since it is divisible by the number (24) 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 2686632689664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020505280000).

2686632689664 is an abundant number, since it is smaller than the sum of its proper divisors (7354377870336).

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

2686632689664 is a wasteful number, since it uses less digits than its factorization.

2686632689664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 485 counting only the distinct ones).

The product of its digits is 1289945088, while the sum is 72.

The spelling of 2686632689664 in words is "two trillion, six hundred eighty-six billion, six hundred thirty-two million, six hundred eighty-nine thousand, six hundred sixty-four".