378627378187968 has 1792 divisors, whose sum is σ = 1439861701017600. Its totient is φ = 94828521553920.

The previous prime is 378627378187943. The next prime is 378627378187979. The reversal of 378627378187968 is 869781873726873.

378627378187968 is a `hidden beast` number, since 3 + 7 + 8 + 6 + 273 + 78 + 187 + 96 + 8 = 666.

It is a super-2 number, since 2×378627378187968² (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 255 ways as a sum of consecutive naturals, for example, 385175358805 + ... + 385175359787.

It is an arithmetic number, because the mean of its divisors is an integer number (803494252800).

Almost surely, 2^{378627378187968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378627378187968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719930850508800).

378627378187968 is an abundant number, since it is smaller than the sum of its proper divisors (1061234322829632).

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

378627378187968 is a wasteful number, since it uses less digits than its factorization.

378627378187968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1691 counting only the distinct ones).

The product of its digits is 57354780672, while the sum is 90.

The spelling of 378627378187968 in words is "three hundred seventy-eight trillion, six hundred twenty-seven billion, three hundred seventy-eight million, one hundred eighty-seven thousand, nine hundred sixty-eight".