2676409747704 has 1152 divisors, whose sum is σ = 10124637768000. Its totient is φ = 650420305920.

The previous prime is 2676409747663. The next prime is 2676409747709. The reversal of 2676409747704 is 4077479046762.

2676409747704 is a `hidden beast` number, since 2 + 6 + 76 + 4 + 0 + 97 + 477 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2676409747709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5856476244 + ... + 5856476700.

Almost surely, 2^{2676409747704} is an apocalyptic number.

2676409747704 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 2676409747704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062318884000).

2676409747704 is an abundant number, since it is smaller than the sum of its proper divisors (7448228020296).

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

2676409747704 is a wasteful number, since it uses less digits than its factorization.

2676409747704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 99574272, while the sum is 63.

The spelling of 2676409747704 in words is "two trillion, six hundred seventy-six billion, four hundred nine million, seven hundred forty-seven thousand, seven hundred four".