378661963680 has 576 divisors, whose sum is σ = 1734966874368. Its totient is φ = 72630190080.

The previous prime is 378661963661. The next prime is 378661963721. The reversal of 378661963680 is 86369166873.

378661963680 is a `hidden beast` number, since 3 + 7 + 8 + 6 + 619 + 6 + 3 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 1310092 + ... + 1572788.

It is an arithmetic number, because the mean of its divisors is an integer number (3012095268).

Almost surely, 2^378661963680 is an apocalyptic number.

378661963680 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 378661963680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867483437184).

378661963680 is an abundant number, since it is smaller than the sum of its proper divisors (1356304910688).

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

378661963680 is a wasteful number, since it uses less digits than its factorization.

378661963680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262749 (or 262738 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

It can be divided in two parts, 378661 and 963680, that added together give a triangular number (1342341 = T₁₆₃₈).

The spelling of 378661963680 in words is "three hundred seventy-eight billion, six hundred sixty-one million, nine hundred sixty-three thousand, six hundred eighty".