20784465740742 has 128 divisors (see below), whose sum is σ = 46983534174720. Its totient is φ = 6071829120000.

The previous prime is 20784465740741. The next prime is 20784465740777. The reversal of 20784465740742 is 24704756448702.

It is a super-2 number, since 2×20784465740742² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20784465740741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4947502242 + ... + 4947506442.

It is an arithmetic number, because the mean of its divisors is an integer number (367058860740).

Almost surely, 2^{20784465740742} is an apocalyptic number.

20784465740742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20784465740742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23491767087360).

20784465740742 is an abundant number, since it is smaller than the sum of its proper divisors (26199068433978).

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

20784465740742 is a wasteful number, since it uses less digits than its factorization.

20784465740742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7590.

The product of its (nonzero) digits is 84295680, while the sum is 60.

The spelling of 20784465740742 in words is "twenty trillion, seven hundred eighty-four billion, four hundred sixty-five million, seven hundred forty thousand, seven hundred forty-two".