2676877668864 has 480 divisors, whose sum is σ = 9136216387584. Its totient is φ = 738357534720.

The previous prime is 2676877668841. The next prime is 2676877668889. The reversal of 2676877668864 is 4688667786762.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442968627 + ... + 442974669.

Almost surely, 2^{2676877668864} is an apocalyptic number.

2676877668864 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 2676877668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568108193792).

2676877668864 is an abundant number, since it is smaller than the sum of its proper divisors (6459338718720).

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

2676877668864 is a wasteful number, since it uses less digits than its factorization.

2676877668864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6548 (or 6529 counting only the distinct ones).

The product of its digits is 10924720128, while the sum is 81.

The spelling of 2676877668864 in words is "two trillion, six hundred seventy-six billion, eight hundred seventy-seven million, six hundred sixty-eight thousand, eight hundred sixty-four".