20768729184 has 360 divisors, whose sum is σ = 75239924760. Its totient is φ = 5584287744.

The previous prime is 20768729039. The next prime is 20768729197. The reversal of 20768729184 is 48192786702.

It is a happy number.

It is a super-2 number, since 2×20768729184² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20768729184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2154327 + ... + 2163945.

It is an arithmetic number, because the mean of its divisors is an integer number (208999791).

Almost surely, 2^20768729184 is an apocalyptic number.

20768729184 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 20768729184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37619962380).

20768729184 is an abundant number, since it is smaller than the sum of its proper divisors (54471195576).

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

20768729184 is a wasteful number, since it uses less digits than its factorization.

20768729184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9672 (or 9648 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 20768729184 in words is "twenty billion, seven hundred sixty-eight million, seven hundred twenty-nine thousand, one hundred eighty-four".