378836767620 has 144 divisors (see below), whose sum is σ = 1171292823792. Its totient is φ = 99077022720.

The previous prime is 378836767619. The next prime is 378836767643. The reversal of 378836767620 is 26767638873.

It can be written as a sum of positive squares in 8 ways, for example, as 442008576 + 378394759044 = 21024^2 + 615138^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29195454 + ... + 29208426.

It is an arithmetic number, because the mean of its divisors is an integer number (8133977943).

Almost surely, 2^378836767620 is an apocalyptic number.

378836767620 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 378836767620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585646411896).

378836767620 is an abundant number, since it is smaller than the sum of its proper divisors (792456056172).

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

378836767620 is a wasteful number, since it uses less digits than its factorization.

378836767620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16102 (or 16097 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 378836767620 in words is "three hundred seventy-eight billion, eight hundred thirty-six million, seven hundred sixty-seven thousand, six hundred twenty".