5946768300 has 288 divisors, whose sum is σ = 20167709184. Its totient is φ = 1336832000.

The previous prime is 5946768299. The next prime is 5946768301. The reversal of 5946768300 is 38676495.

It is an interprime number because it is at equal distance from previous prime (5946768299) and next prime (5946768301).

It is a self number, because there is not a number n which added to its sum of digits gives 5946768300.

It is not an unprimeable number, because it can be changed into a prime (5946768301) 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, 3982354 + ... + 3983846.

It is an arithmetic number, because the mean of its divisors is an integer number (70026768).

Almost surely, 2^5946768300 is an apocalyptic number.

5946768300 is a gapful number since it is divisible by the number (50) 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 5946768300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10083854592).

5946768300 is an abundant number, since it is smaller than the sum of its proper divisors (14220940884).

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

5946768300 is a wasteful number, since it uses less digits than its factorization.

5946768300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 5946768300 is about 77115.2922577617. The cubic root of 5946768300 is about 1811.7308209904.

The spelling of 5946768300 in words is "five billion, nine hundred forty-six million, seven hundred sixty-eight thousand, three hundred".