2676946599936 has 672 divisors, whose sum is σ = 9341666128080. Its totient is φ = 764507455488.

The previous prime is 2676946599917. The next prime is 2676946599949. The reversal of 2676946599936 is 6399956496762.

2676946599936 is a `hidden beast` number, since 2 + 6 + 7 + 69 + 465 + 9 + 9 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1170504585 + ... + 1170506871.

Almost surely, 2^{2676946599936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2676946599936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670833064040).

2676946599936 is an abundant number, since it is smaller than the sum of its proper divisors (6664719528144).

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

2676946599936 is an frugal number, since it uses more digits than its factorization.

2676946599936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2299 counting only the distinct ones).

The product of its digits is 7142567040, while the sum is 81.

The spelling of 2676946599936 in words is "two trillion, six hundred seventy-six billion, nine hundred forty-six million, five hundred ninety-nine thousand, nine hundred thirty-six".