20124729768 has 128 divisors (see below), whose sum is σ = 59202218880. Its totient is φ = 5620285440.

The previous prime is 20124729743. The next prime is 20124729787. The reversal of 20124729768 is 86792742102.

It is a super-3 number, since 3×20124729768³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2305380 + ... + 2314092.

It is an arithmetic number, because the mean of its divisors is an integer number (462517335).

Almost surely, 2^20124729768 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 20124729768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29601109440).

20124729768 is an abundant number, since it is smaller than the sum of its proper divisors (39077489112).

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

20124729768 is a wasteful number, since it uses less digits than its factorization.

20124729768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9419 (or 9415 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 20124729768 in words is "twenty billion, one hundred twenty-four million, seven hundred twenty-nine thousand, seven hundred sixty-eight".