2106766736928 has 480 divisors, whose sum is σ = 7160649560064. Its totient is φ = 595202162688.

The previous prime is 2106766736863. The next prime is 2106766736947. The reversal of 2106766736928 is 8296376676012.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 776543700 + ... + 776546412.

Almost surely, 2^{2106766736928} is an apocalyptic number.

2106766736928 is a gapful number since it is divisible by the number (28) 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 2106766736928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580324780032).

2106766736928 is an abundant number, since it is smaller than the sum of its proper divisors (5053882823136).

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

2106766736928 is a wasteful number, since it uses less digits than its factorization.

2106766736928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 2106766736928 in words is "two trillion, one hundred six billion, seven hundred sixty-six million, seven hundred thirty-six thousand, nine hundred twenty-eight".