378720855735768 has 1536 divisors, whose sum is σ = 1440632438784000. Its totient is φ = 91021425546240.

The previous prime is 378720855735763. The next prime is 378720855735797. The reversal of 378720855735768 is 867537558027873.

378720855735768 is a `hidden beast` number, since 3 + 7 + 8 + 7 + 2 + 0 + 8 + 557 + 3 + 57 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378720855735763) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13533947905 + ... + 13533975887.

It is an arithmetic number, because the mean of its divisors is an integer number (937911744000).

Almost surely, 2^{378720855735768} is an apocalyptic number.

378720855735768 is a gapful number since it is divisible by the number (38) 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 378720855735768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720316219392000).

378720855735768 is an abundant number, since it is smaller than the sum of its proper divisors (1061911583048232).

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

378720855735768 is a wasteful number, since it uses less digits than its factorization.

378720855735768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28242 (or 28225 counting only the distinct ones).

The product of its (nonzero) digits is 16595712000, while the sum is 81.

The spelling of 378720855735768 in words is "three hundred seventy-eight trillion, seven hundred twenty billion, eight hundred fifty-five million, seven hundred thirty-five thousand, seven hundred sixty-eight".