238640575680 has 448 divisors, whose sum is σ = 922022438400. Its totient is φ = 57745059840.

The previous prime is 238640575637. The next prime is 238640575709. The reversal of 238640575680 is 86575046832.

238640575680 is a `hidden beast` number, since 2 + 3 + 8 + 6 + 4 + 0 + 575 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6608875 + ... + 6644885.

It is an arithmetic number, because the mean of its divisors is an integer number (2058085800).

Almost surely, 2^238640575680 is an apocalyptic number.

238640575680 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 238640575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461011219200).

238640575680 is an abundant number, since it is smaller than the sum of its proper divisors (683381862720).

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

238640575680 is a wasteful number, since it uses less digits than its factorization.

238640575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36109 (or 36093 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 238640575680 in words is "two hundred thirty-eight billion, six hundred forty million, five hundred seventy-five thousand, six hundred eighty".