20179740672 has 576 divisors, whose sum is σ = 73408083840. Its totient is φ = 5198708736.

The previous prime is 20179740661. The next prime is 20179740703. The reversal of 20179740672 is 27604797102.

20179740672 is a `hidden beast` number, since 2 + 0 + 179 + 7 + 406 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×20179740672³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88897423 + ... + 88897649.

It is an arithmetic number, because the mean of its divisors is an integer number (127444590).

Almost surely, 2^20179740672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20179740672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36704041920).

20179740672 is an abundant number, since it is smaller than the sum of its proper divisors (53228343168).

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

20179740672 is a wasteful number, since it uses less digits than its factorization.

20179740672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 20179740672 in words is "twenty billion, one hundred seventy-nine million, seven hundred forty thousand, six hundred seventy-two".