2076766418286 has 192 divisors, whose sum is σ = 5431954784256. Its totient is φ = 560899123200.

The previous prime is 2076766418273. The next prime is 2076766418399. The reversal of 2076766418286 is 6828146676702.

2076766418286 is a `hidden beast` number, since 2 + 0 + 76 + 76 + 6 + 418 + 2 + 86 = 666.

It is a super-2 number, since 2×2076766418286² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95635366 + ... + 95657078.

It is an arithmetic number, because the mean of its divisors is an integer number (28291431168).

Almost surely, 2^{2076766418286} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2076766418286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715977392128).

2076766418286 is an abundant number, since it is smaller than the sum of its proper divisors (3355188365970).

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

2076766418286 is a wasteful number, since it uses less digits than its factorization.

2076766418286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22327 (or 22324 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 2076766418286 in words is "two trillion, seventy-six billion, seven hundred sixty-six million, four hundred eighteen thousand, two hundred eighty-six".