838194577920 has 480 divisors, whose sum is σ = 3372030604800. Its totient is φ = 188444344320.

The previous prime is 838194577889. The next prime is 838194577921. The reversal of 838194577920 is 29775491838.

838194577920 is a `hidden beast` number, since 8 + 38 + 1 + 9 + 4 + 577 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (838194577921) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9795481 + ... + 9880679.

It is an arithmetic number, because the mean of its divisors is an integer number (7025063760).

Almost surely, 2^838194577920 is an apocalyptic number.

838194577920 is a gapful number since it is divisible by the number (80) 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 838194577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686015302400).

838194577920 is an abundant number, since it is smaller than the sum of its proper divisors (2533836026880).

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

838194577920 is a wasteful number, since it uses less digits than its factorization.

838194577920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85296 (or 85277 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 838194577920 in words is "eight hundred thirty-eight billion, one hundred ninety-four million, five hundred seventy-seven thousand, nine hundred twenty".