838479242768300 has 288 divisors, whose sum is σ = 2180687138840448. Its totient is φ = 273830668001280.

The previous prime is 838479242768249. The next prime is 838479242768303. The reversal of 838479242768300 is 3867242974838.

It is not an unprimeable number, because it can be changed into a prime (838479242768303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 626655602 + ... + 627992198.

It is an arithmetic number, because the mean of its divisors is an integer number (7571830343196).

Almost surely, 2^{838479242768300} 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 838479242768300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090343569420224).

838479242768300 is an abundant number, since it is smaller than the sum of its proper divisors (1342207896072148).

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

838479242768300 is a wasteful number, since it uses less digits than its factorization.

838479242768300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337165 (or 1337158 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 71.

The spelling of 838479242768300 in words is "eight hundred thirty-eight trillion, four hundred seventy-nine billion, two hundred forty-two million, seven hundred sixty-eight thousand, three hundred".