2687079415680 has 1024 divisors, whose sum is σ = 11039724057600. Its totient is φ = 610467840000.

The previous prime is 2687079415639. The next prime is 2687079415721. The reversal of 2687079415680 is 865149707862.

2687079415680 is a `hidden beast` number, since 2 + 6 + 8 + 70 + 79 + 415 + 6 + 80 = 666.

2687079415680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2687079415639) and next prime (2687079415721).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 811069704 + ... + 811073016.

It is an arithmetic number, because the mean of its divisors is an integer number (10780980525).

Almost surely, 2^{2687079415680} is an apocalyptic number.

2687079415680 is a gapful number since it is divisible by the number (20) 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 2687079415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519862028800).

2687079415680 is an abundant number, since it is smaller than the sum of its proper divisors (8352644641920).

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

2687079415680 is a wasteful number, since it uses less digits than its factorization.

2687079415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 2687079415680 in words is "two trillion, six hundred eighty-seven billion, seventy-nine million, four hundred fifteen thousand, six hundred eighty".