6402386592 has 288 divisors, whose sum is σ = 22289904000. Its totient is φ = 1701494784.

The previous prime is 6402386587. The next prime is 6402386629. The reversal of 6402386592 is 2956832046.

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

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 47 ways as a sum of consecutive naturals, for example, 3049159 + ... + 3051257.

It is an arithmetic number, because the mean of its divisors is an integer number (77395500).

Almost surely, 2^6402386592 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 6402386592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11144952000).

6402386592 is an abundant number, since it is smaller than the sum of its proper divisors (15887517408).

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

6402386592 is a wasteful number, since it uses less digits than its factorization.

6402386592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6402386592 is about 80014.9148096778. The cubic root of 6402386592 is about 1856.8662876556.

The spelling of 6402386592 in words is "six billion, four hundred two million, three hundred eighty-six thousand, five hundred ninety-two".