20242636646400 has 4320 divisors, whose sum is σ = 93801817549440. Its totient is φ = 4291854336000.

The previous prime is 20242636646359. The next prime is 20242636646473. The reversal of 20242636646400 is 464663624202.

20242636646400 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 2 + 636 + 6 + 4 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 285107558365 + ... + 285107558435.

It is an arithmetic number, because the mean of its divisors is an integer number (21713383692).

Almost surely, 2^{20242636646400} is an apocalyptic number.

20242636646400 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 20242636646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46900908774720).

20242636646400 is an abundant number, since it is smaller than the sum of its proper divisors (73559180903040).

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

20242636646400 is a wasteful number, since it uses less digits than its factorization.

20242636646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 20242636646400 in words is "twenty trillion, two hundred forty-two billion, six hundred thirty-six million, six hundred forty-six thousand, four hundred".