378898836768 has 288 divisors, whose sum is σ = 1116724190400. Its totient is φ = 121802323968.

The previous prime is 378898836761. The next prime is 378898836769. The reversal of 378898836768 is 867638898873.

378898836768 is a `hidden beast` number, since 37 + 88 + 98 + 8 + 367 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (378898836761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227020638 + ... + 227022306.

It is an arithmetic number, because the mean of its divisors is an integer number (3877514550).

Almost surely, 2^378898836768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378898836768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558362095200).

378898836768 is an abundant number, since it is smaller than the sum of its proper divisors (737825353632).

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

378898836768 is a wasteful number, since it uses less digits than its factorization.

378898836768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1973 counting only the distinct ones).

The product of its digits is 4682022912, while the sum is 81.

The spelling of 378898836768 in words is "three hundred seventy-eight billion, eight hundred ninety-eight million, eight hundred thirty-six thousand, seven hundred sixty-eight".