20466746880 has 320 divisors, whose sum is σ = 68965585920. Its totient is φ = 5167742976.

The previous prime is 20466746873. The next prime is 20466746891. The reversal of 20466746880 is 8864766402.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19253229 + ... + 19254291.

It is an arithmetic number, because the mean of its divisors is an integer number (215517456).

Almost surely, 2^20466746880 is an apocalyptic number.

20466746880 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 20466746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34482792960).

20466746880 is an abundant number, since it is smaller than the sum of its proper divisors (48498839040).

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

20466746880 is a wasteful number, since it uses less digits than its factorization.

20466746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 20466746880 in words is "twenty billion, four hundred sixty-six million, seven hundred forty-six thousand, eight hundred eighty".