2686846464 has 400 divisors, whose sum is σ = 8805427488. Its totient is φ = 812187648.

The previous prime is 2686846457. The next prime is 2686846493. The reversal of 2686846464 is 4646486862.

2686846464 is a `hidden beast` number, since 2 + 68 + 68 + 464 + 64 = 666.

It is a super-2 number, since 2×2686846464² = 14438287842218606592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (10616832) is a multiple of the sum of its prime divisors (162).

It is a self number, because there is not a number n which added to its sum of digits gives 2686846464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26085837 + ... + 26085939.

Almost surely, 2^2686846464 is an apocalyptic number.

2686846464 is a gapful number since it is divisible by the number (24) 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 2686846464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402713744).

2686846464 is an abundant number, since it is smaller than the sum of its proper divisors (6118581024).

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

2686846464 is a wasteful number, since it uses less digits than its factorization.

2686846464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 162 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The square root of 2686846464 is about 51834.7997391714. The cubic root of 2686846464 is about 1390.2117345622.

The spelling of 2686846464 in words is "two billion, six hundred eighty-six million, eight hundred forty-six thousand, four hundred sixty-four".