2067766000 has 80 divisors (see below), whose sum is σ = 5026963968. Its totient is φ = 822624000.

The previous prime is 2067765989. The next prime is 2067766007. The reversal of 2067766000 is 6677602.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067766007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379294 + ... + 384706.

Almost surely, 2^2067766000 is an apocalyptic number.

2067766000 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 2067766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513481984).

2067766000 is an abundant number, since it is smaller than the sum of its proper divisors (2959197968).

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

2067766000 is a wasteful number, since it uses less digits than its factorization.

2067766000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5627 (or 5611 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 2067766000 is about 45472.6951037653. The cubic root of 2067766000 is about 1273.9932588547.

The spelling of 2067766000 in words is "two billion, sixty-seven million, seven hundred sixty-six thousand".