2686063779840 has 672 divisors, whose sum is σ = 10343560394880. Its totient is φ = 592747954176.

The previous prime is 2686063779829. The next prime is 2686063779863. The reversal of 2686063779840 is 489773606862.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174604789 + ... + 174620171.

Almost surely, 2^{2686063779840} is an apocalyptic number.

2686063779840 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 2686063779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171780197440).

2686063779840 is an abundant number, since it is smaller than the sum of its proper divisors (7657496615040).

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

2686063779840 is a wasteful number, since it uses less digits than its factorization.

2686063779840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15460 (or 15429 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 66.

The spelling of 2686063779840 in words is "two trillion, six hundred eighty-six billion, sixty-three million, seven hundred seventy-nine thousand, eight hundred forty".