378778639680 has 504 divisors, whose sum is σ = 1529025691752. Its totient is φ = 85808185344.

The previous prime is 378778639669. The next prime is 378778639691. The reversal of 378778639680 is 86936877873.

378778639680 is a `hidden beast` number, since 3 + 7 + 87 + 7 + 86 + 396 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (378778639669) and next prime (378778639691).

It can be written as a sum of positive squares in 4 ways, for example, as 4205263104 + 374573376576 = 64848^2 + 612024^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 378778639599 and 378778639608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15934684 + ... + 15958436.

Almost surely, 2^378778639680 is an apocalyptic number.

378778639680 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 378778639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764512845876).

378778639680 is an abundant number, since it is smaller than the sum of its proper divisors (1150247052072).

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

378778639680 is a wasteful number, since it uses less digits than its factorization.

378778639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23903 (or 23883 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 378778639680 in words is "three hundred seventy-eight billion, seven hundred seventy-eight million, six hundred thirty-nine thousand, six hundred eighty".