243632077920 has 1152 divisors, whose sum is σ = 1095593361408. Its totient is φ = 47798784000.

The previous prime is 243632077903. The next prime is 243632077939. The reversal of 243632077920 is 29770236342.

243632077920 is a `hidden beast` number, since 2 + 4 + 3 + 632 + 0 + 7 + 7 + 9 + 2 + 0 = 666.

243632077920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 211669345 + ... + 211670495.

It is an arithmetic number, because the mean of its divisors is an integer number (951035904).

Almost surely, 2^243632077920 is an apocalyptic number.

243632077920 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 243632077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547796680704).

243632077920 is an abundant number, since it is smaller than the sum of its proper divisors (851961283488).

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

243632077920 is a wasteful number, since it uses less digits than its factorization.

243632077920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 243632077920 in words is "two hundred forty-three billion, six hundred thirty-two million, seventy-seven thousand, nine hundred twenty".