20746672128 has 1152 divisors, whose sum is σ = 83655936000. Its totient is φ = 5016453120.

The previous prime is 20746672117. The next prime is 20746672169. The reversal of 20746672128 is 82127664702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 669247473 + ... + 669247503.

It is an arithmetic number, because the mean of its divisors is an integer number (72618000).

Almost surely, 2^20746672128 is an apocalyptic number.

20746672128 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 20746672128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41827968000).

20746672128 is an abundant number, since it is smaller than the sum of its proper divisors (62909263872).

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

20746672128 is a wasteful number, since it uses less digits than its factorization.

20746672128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 20746672128 in words is "twenty billion, seven hundred forty-six million, six hundred seventy-two thousand, one hundred twenty-eight".