20744321130624 has 512 divisors, whose sum is σ = 71535040819200. Its totient is φ = 5172357316608.

The previous prime is 20744321130551. The next prime is 20744321130661. The reversal of 20744321130624 is 42603112344702.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 323304754 + ... + 323368910.

It is an arithmetic number, because the mean of its divisors is an integer number (139716876600).

Almost surely, 2^{20744321130624} is an apocalyptic number.

20744321130624 is a gapful number since it is divisible by the number (24) 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 20744321130624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35767520409600).

20744321130624 is an abundant number, since it is smaller than the sum of its proper divisors (50790719688576).

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

20744321130624 is a wasteful number, since it uses less digits than its factorization.

20744321130624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64700 (or 64688 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 20744321130624 in words is "twenty trillion, seven hundred forty-four billion, three hundred twenty-one million, one hundred thirty thousand, six hundred twenty-four".