6426350784 has 336 divisors, whose sum is σ = 22271796960. Its totient is φ = 1834140672.

The previous prime is 6426350759. The next prime is 6426350789. The reversal of 6426350784 is 4870536246.

6426350784 is a `hidden beast` number, since 6 + 4 + 2 + 63 + 507 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (6426350789) 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, 6857964 + ... + 6858900.

It is an arithmetic number, because the mean of its divisors is an integer number (66285110).

Almost surely, 2^6426350784 is an apocalyptic number.

6426350784 is a gapful number since it is divisible by the number (64) 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 6426350784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11135898480).

6426350784 is an abundant number, since it is smaller than the sum of its proper divisors (15845446176).

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

6426350784 is an frugal number, since it uses more digits than its factorization.

6426350784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 6426350784 is about 80164.5232256763. The cubic root of 6426350784 is about 1859.1801589792.

The spelling of 6426350784 in words is "six billion, four hundred twenty-six million, three hundred fifty thousand, seven hundred eighty-four".