426679305360 has 640 divisors, whose sum is σ = 1718152888320. Its totient is φ = 85001011200.

The previous prime is 426679305323. The next prime is 426679305361. The reversal of 426679305360 is 63503976624.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (426679305361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62440504 + ... + 62447336.

It is an arithmetic number, because the mean of its divisors is an integer number (2684613888).

Almost surely, 2^426679305360 is an apocalyptic number.

426679305360 is a gapful number since it is divisible by the number (40) 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 426679305360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859076444160).

426679305360 is an abundant number, since it is smaller than the sum of its proper divisors (1291473582960).

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

426679305360 is a wasteful number, since it uses less digits than its factorization.

426679305360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7007 (or 7001 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 51.

The spelling of 426679305360 in words is "four hundred twenty-six billion, six hundred seventy-nine million, three hundred five thousand, three hundred sixty".