20746900661760 has 1920 divisors, whose sum is σ = 95926196830464. Its totient is φ = 4019107921920.

The previous prime is 20746900661759. The next prime is 20746900661797. The reversal of 20746900661760 is 6716600964702.

20746900661760 is a `hidden beast` number, since 2 + 0 + 7 + 469 + 0 + 0 + 6 + 6 + 176 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a junction number, because it is equal to n+sod(n) for n = 20746900661697 and 20746900661706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1461350982 + ... + 1461365178.

Almost surely, 2^{20746900661760} is an apocalyptic number.

20746900661760 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 20746900661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47963098415232).

20746900661760 is an abundant number, since it is smaller than the sum of its proper divisors (75179296168704).

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

20746900661760 is a wasteful number, since it uses less digits than its factorization.

20746900661760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14304 (or 14285 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 20746900661760 in words is "twenty trillion, seven hundred forty-six billion, nine hundred million, six hundred sixty-one thousand, seven hundred sixty".