6305992992 has 288 divisors, whose sum is σ = 20973556800. Its totient is φ = 1837375488.

The previous prime is 6305992967. The next prime is 6305992997. The reversal of 6305992992 is 2992995036.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6305992992² = 79531095230306224128, which contains 22 as substring.

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 (6305992997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2773168 + ... + 2775440.

It is an arithmetic number, because the mean of its divisors is an integer number (72824850).

Almost surely, 2^6305992992 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 6305992992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10486778400).

6305992992 is an abundant number, since it is smaller than the sum of its proper divisors (14667563808).

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

6305992992 is a wasteful number, since it uses less digits than its factorization.

6305992992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The square root of 6305992992 is about 79410.2826591116. The cubic root of 6305992992 is about 1847.5002021652.

The spelling of 6305992992 in words is "six billion, three hundred five million, nine hundred ninety-two thousand, nine hundred ninety-two".