20629720800 has 216 divisors, whose sum is σ = 78341720184. Its totient is φ = 5078062080.

The previous prime is 20629720781. The next prime is 20629720817. The reversal of 20629720800 is 802792602.

20629720800 is a `hidden beast` number, since 2 + 0 + 629 + 7 + 20 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16602 + ... + 203801.

It is an arithmetic number, because the mean of its divisors is an integer number (362693149).

Almost surely, 2^20629720800 is an apocalyptic number.

20629720800 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 20629720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39170860092).

20629720800 is an abundant number, since it is smaller than the sum of its proper divisors (57711999384).

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

20629720800 is a wasteful number, since it uses less digits than its factorization.

20629720800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220442 (or 220426 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 20629720800 in words is "twenty billion, six hundred twenty-nine million, seven hundred twenty thousand, eight hundred".