300868784640 has 800 divisors, whose sum is σ = 1130944864896. Its totient is φ = 76361564160.

The previous prime is 300868784627. The next prime is 300868784647. The reversal of 300868784640 is 46487868003.

300868784640 is a `hidden beast` number, since 30 + 0 + 86 + 8 + 78 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (300868784647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 365575269 + ... + 365576091.

Almost surely, 2^300868784640 is an apocalyptic number.

300868784640 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 300868784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565472432448).

300868784640 is an abundant number, since it is smaller than the sum of its proper divisors (830076080256).

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

300868784640 is an equidigital number, since it uses as much as digits as its factorization.

300868784640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 300868784640 in words is "three hundred billion, eight hundred sixty-eight million, seven hundred eighty-four thousand, six hundred forty".