300090199680 has 640 divisors, whose sum is σ = 1113601381200. Its totient is φ = 76918947840.

The previous prime is 300090199657. The next prime is 300090199691. The reversal of 300090199680 is 86991090003.

It can be written as a sum of positive squares in 8 ways, for example, as 48319073856 + 251771125824 = 219816^2 + 501768^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 650954650 + ... + 650955110.

Almost surely, 2^300090199680 is an apocalyptic number.

300090199680 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 300090199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556800690600).

300090199680 is an abundant number, since it is smaller than the sum of its proper divisors (813511181520).

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

300090199680 is a wasteful number, since it uses less digits than its factorization.

300090199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 300090199680 in words is "three hundred billion, ninety million, one hundred ninety-nine thousand, six hundred eighty".