378633220528680 has 768 divisors, whose sum is σ = 1439503653369600. Its totient is φ = 85475039477760.

The previous prime is 378633220528613. The next prime is 378633220528747. The reversal of 378633220528680 is 86825022336873.

378633220528680 is a `hidden beast` number, since 3 + 7 + 8 + 6 + 3 + 3 + 2 + 20 + 528 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (378633220528613) and next prime (378633220528747).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 518923551 + ... + 519652689.

It is an arithmetic number, because the mean of its divisors is an integer number (1874353715325).

Almost surely, 2^{378633220528680} is an apocalyptic number.

378633220528680 is a gapful number since it is divisible by the number (30) 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 378633220528680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719751826684800).

378633220528680 is an abundant number, since it is smaller than the sum of its proper divisors (1060870432840920).

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

378633220528680 is a wasteful number, since it uses less digits than its factorization.

378633220528680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729354 (or 729347 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 378633220528680 in words is "three hundred seventy-eight trillion, six hundred thirty-three billion, two hundred twenty million, five hundred twenty-eight thousand, six hundred eighty".