20729304960 has 768 divisors, whose sum is σ = 87731864640. Its totient is φ = 4112252928.

The previous prime is 20729304907. The next prime is 20729304979. The reversal of 20729304960 is 6940392702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 20791182 + ... + 20792178.

Almost surely, 2^20729304960 is an apocalyptic number.

20729304960 is a gapful number since it is divisible by the number (20) 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 20729304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43865932320).

20729304960 is an abundant number, since it is smaller than the sum of its proper divisors (67002559680).

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

20729304960 is a wasteful number, since it uses less digits than its factorization.

20729304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 20729304960 in words is "twenty billion, seven hundred twenty-nine million, three hundred four thousand, nine hundred sixty".