7938382233600 has 3648 divisors, whose sum is σ = 39319008422400. Its totient is φ = 1522029035520.

The previous prime is 7938382233569. The next prime is 7938382233653. The reversal of 7938382233600 is 63322838397.

It is a happy number.

7938382233600 is a `hidden beast` number, since 7 + 9 + 3 + 8 + 3 + 8 + 2 + 23 + 3 + 600 = 666.

It is a super-2 number, since 2×7938382233600² (a number of 27 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 273737318386 + ... + 273737318414.

Almost surely, 2^{7938382233600} is an apocalyptic number.

7938382233600 is a gapful number since it is divisible by the number (70) 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 7938382233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19659504211200).

7938382233600 is an abundant number, since it is smaller than the sum of its proper divisors (31380626188800).

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

7938382233600 is a wasteful number, since it uses less digits than its factorization.

7938382233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 7938382233600 in words is "seven trillion, nine hundred thirty-eight billion, three hundred eighty-two million, two hundred thirty-three thousand, six hundred".