2068684738560 has 2496 divisors, whose sum is σ = 8902782959616. Its totient is φ = 455462092800.

The previous prime is 2068684738553. The next prime is 2068684738597. The reversal of 2068684738560 is 658374868602.

2068684738560 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 68 + 4 + 7 + 3 + 8 + 560 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39031787494 + ... + 39031787546.

It is an arithmetic number, because the mean of its divisors is an integer number (3566820096).

Almost surely, 2^{2068684738560} is an apocalyptic number.

2068684738560 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 2068684738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451391479808).

2068684738560 is an abundant number, since it is smaller than the sum of its proper divisors (6834098221056).

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

2068684738560 is a wasteful number, since it uses less digits than its factorization.

2068684738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 2068684738560 in words is "two trillion, sixty-eight billion, six hundred eighty-four million, seven hundred thirty-eight thousand, five hundred sixty".