238004760000 has 840 divisors, whose sum is σ = 969625133136. Its totient is φ = 51179520000.

The previous prime is 238004759969. The next prime is 238004760001. The reversal of 238004760000 is 67400832.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 238004760000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238004760001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 99958810 + ... + 99961190.

Almost surely, 2^238004760000 is an apocalyptic number.

238004760000 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 238004760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484812566568).

238004760000 is an abundant number, since it is smaller than the sum of its proper divisors (731620373136).

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

238004760000 is a wasteful number, since it uses less digits than its factorization.

238004760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 238004760000 in words is "two hundred thirty-eight billion, four million, seven hundred sixty thousand".