378134765568 has 1008 divisors, whose sum is σ = 1384520252544. Its totient is φ = 98760130560.

The previous prime is 378134765549. The next prime is 378134765587. The reversal of 378134765568 is 865567431873.

It is a happy number.

378134765568 is a `hidden beast` number, since 3 + 7 + 8 + 1 + 3 + 4 + 7 + 65 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (378134765549) and next prime (378134765587).

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2886524863 + ... + 2886524993.

Almost surely, 2^378134765568 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 378134765568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692260126272).

378134765568 is an abundant number, since it is smaller than the sum of its proper divisors (1006385486976).

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

378134765568 is a wasteful number, since it uses less digits than its factorization.

378134765568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 207 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 378134765568 in words is "three hundred seventy-eight billion, one hundred thirty-four million, seven hundred sixty-five thousand, five hundred sixty-eight".