6426846720 has 640 divisors, whose sum is σ = 26869708800. Its totient is φ = 1425309696.

The previous prime is 6426846709. The next prime is 6426846731. The reversal of 6426846720 is 276486246.

It is an interprime number because it is at equal distance from previous prime (6426846709) and next prime (6426846731).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17901901 + ... + 17902259.

It is an arithmetic number, because the mean of its divisors is an integer number (41983920).

Almost surely, 2^6426846720 is an apocalyptic number.

6426846720 is a gapful number since it is divisible by the number (60) 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 6426846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13434854400).

6426846720 is an abundant number, since it is smaller than the sum of its proper divisors (20442862080).

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

6426846720 is a wasteful number, since it uses less digits than its factorization.

6426846720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 6426846720 is about 80167.6164046306. The cubic root of 6426846720 is about 1859.2279834593.

The spelling of 6426846720 in words is "six billion, four hundred twenty-six million, eight hundred forty-six thousand, seven hundred twenty".