20645766000 has 480 divisors, whose sum is σ = 78073003008. Its totient is φ = 5263315200.

The previous prime is 20645765989. The next prime is 20645766013. The reversal of 20645766000 is 66754602.

20645766000 is a `hidden beast` number, since 2 + 0 + 6 + 45 + 7 + 6 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11177077 + ... + 11178923.

Almost surely, 2^20645766000 is an apocalyptic number.

20645766000 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 20645766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39036501504).

20645766000 is an abundant number, since it is smaller than the sum of its proper divisors (57427237008).

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

20645766000 is a wasteful number, since it uses less digits than its factorization.

20645766000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 20645766000 in words is "twenty billion, six hundred forty-five million, seven hundred sixty-six thousand".