378703521423360 has 2688 divisors, whose sum is σ = 1639918399242240. Its totient is φ = 78887308492800.

The previous prime is 378703521423319. The next prime is 378703521423497. The reversal of 378703521423360 is 63324125307873.

378703521423360 is a `hidden beast` number, since 3 + 7 + 8 + 70 + 3 + 521 + 42 + 3 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a junction number, because it is equal to n+sod(n) for n = 378703521423297 and 378703521423306.

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, 293341224315 + ... + 293341225605.

Almost surely, 2^{378703521423360} is an apocalyptic number.

378703521423360 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 378703521423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819959199621120).

378703521423360 is an abundant number, since it is smaller than the sum of its proper divisors (1261214877818880).

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

378703521423360 is a wasteful number, since it uses less digits than its factorization.

378703521423360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 378703521423360 in words is "three hundred seventy-eight trillion, seven hundred three billion, five hundred twenty-one million, four hundred twenty-three thousand, three hundred sixty".