20079747072 has 672 divisors, whose sum is σ = 75568356864. Its totient is φ = 5175705600.

The previous prime is 20079747071. The next prime is 20079747073. The reversal of 20079747072 is 27074797002.

It is a happy number.

20079747072 is a `hidden beast` number, since 20 + 0 + 7 + 97 + 470 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (20079747071) and next prime (20079747073).

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (20079747071) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 153280447 + ... + 153280577.

It is an arithmetic number, because the mean of its divisors is an integer number (112452912).

Almost surely, 2^20079747072 is an apocalyptic number.

20079747072 is a gapful number since it is divisible by the number (22) 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 20079747072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37784178432).

20079747072 is an abundant number, since it is smaller than the sum of its proper divisors (55488609792).

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

20079747072 is an equidigital number, since it uses as much as digits as its factorization.

20079747072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 20079747072 in words is "twenty billion, seventy-nine million, seven hundred forty-seven thousand, seventy-two".