300829116672 has 756 divisors, whose sum is σ = 1065098892816. Its totient is φ = 84495882240.

The previous prime is 300829116631. The next prime is 300829116673. The reversal of 300829116672 is 276611928003.

It is a tau number, because it is divible by the number of its divisors (756).

It is not an unprimeable number, because it can be changed into a prime (300829116673) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 612686347 + ... + 612686837.

Almost surely, 2^300829116672 is an apocalyptic number.

300829116672 is a gapful number since it is divisible by the number (32) 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 300829116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532549446408).

300829116672 is an abundant number, since it is smaller than the sum of its proper divisors (764269776144).

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

300829116672 is an frugal number, since it uses more digits than its factorization.

300829116672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 300829116672 in words is "three hundred billion, eight hundred twenty-nine million, one hundred sixteen thousand, six hundred seventy-two".