238079761920 has 3200 divisors, whose sum is σ = 1213794312192. Its totient is φ = 42998169600.

The previous prime is 238079761919. The next prime is 238079761979. The reversal of 238079761920 is 29167970832.

238079761920 is a `hidden beast` number, since 2 + 380 + 7 + 9 + 76 + 192 + 0 = 666.

238079761920 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 (54).

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 319 ways as a sum of consecutive naturals, for example, 6434588142 + ... + 6434588178.

Almost surely, 2^238079761920 is an apocalyptic number.

238079761920 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 238079761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606897156096).

238079761920 is an abundant number, since it is smaller than the sum of its proper divisors (975714550272).

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

238079761920 is a wasteful number, since it uses less digits than its factorization.

238079761920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

It can be divided in two parts, 238079 and 761920, that added together give a palindrome (999999).

The spelling of 238079761920 in words is "two hundred thirty-eight billion, seventy-nine million, seven hundred sixty-one thousand, nine hundred twenty".