20329990646400 has 1152 divisors, whose sum is σ = 78008559632640. Its totient is φ = 5028736204800.

The previous prime is 20329990646297. The next prime is 20329990646401. The reversal of 20329990646400 is 464609992302.

20329990646400 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 99 + 90 + 6 + 464 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×20329990646400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20329990646401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4698401037 + ... + 4698405363.

It is an arithmetic number, because the mean of its divisors is an integer number (67715763570).

Almost surely, 2^{20329990646400} is an apocalyptic number.

20329990646400 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 20329990646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39004279816320).

20329990646400 is an abundant number, since it is smaller than the sum of its proper divisors (57678568986240).

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

20329990646400 is a wasteful number, since it uses less digits than its factorization.

20329990646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4594 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 20329990646400 in words is "twenty trillion, three hundred twenty-nine billion, nine hundred ninety million, six hundred forty-six thousand, four hundred".