2679668386560 has 864 divisors, whose sum is σ = 11041137918720. Its totient is φ = 615411302400.

The previous prime is 2679668386501. The next prime is 2679668386597. The reversal of 2679668386560 is 656838669762.

2679668386560 is a `hidden beast` number, since 26 + 7 + 9 + 6 + 6 + 8 + 38 + 6 + 560 = 666.

2679668386560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64986750 + ... + 65027970.

Almost surely, 2^{2679668386560} is an apocalyptic number.

2679668386560 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 2679668386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520568959360).

2679668386560 is an abundant number, since it is smaller than the sum of its proper divisors (8361469532160).

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

2679668386560 is a wasteful number, since it uses less digits than its factorization.

2679668386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41287 (or 41261 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 2679668386560 in words is "two trillion, six hundred seventy-nine billion, six hundred sixty-eight million, three hundred eighty-six thousand, five hundred sixty".