6300299730816 has 1152 divisors, whose sum is σ = 22937975424000. Its totient is φ = 1624912773120.

The previous prime is 6300299730799. The next prime is 6300299730869. The reversal of 6300299730816 is 6180379920036.

6300299730816 is a `hidden beast` number, since 6 + 30 + 0 + 299 + 7 + 308 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14965082286 + ... + 14965082706.

It is an arithmetic number, because the mean of its divisors is an integer number (19911437000).

Almost surely, 2^{6300299730816} 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 6300299730816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11468987712000).

6300299730816 is an abundant number, since it is smaller than the sum of its proper divisors (16637675693184).

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

6300299730816 is a wasteful number, since it uses less digits than its factorization.

6300299730816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 6300299730816 in words is "six trillion, three hundred billion, two hundred ninety-nine million, seven hundred thirty thousand, eight hundred sixteen".