6426679311360 has 1584 divisors, whose sum is σ = 29206695238560. Its totient is φ = 1335243571200.

The previous prime is 6426679311359. The next prime is 6426679311401. The reversal of 6426679311360 is 631139766246.

6426679311360 is a `hidden beast` number, since 6 + 4 + 266 + 7 + 9 + 3 + 11 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6426679311297 and 6426679311306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 819621040 + ... + 819628880.

Almost surely, 2^{6426679311360} is an apocalyptic number.

6426679311360 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 6426679311360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14603347619280).

6426679311360 is an abundant number, since it is smaller than the sum of its proper divisors (22780015927200).

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

6426679311360 is a wasteful number, since it uses less digits than its factorization.

6426679311360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7911 (or 7869 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 6426679311360 in words is "six trillion, four hundred twenty-six billion, six hundred seventy-nine million, three hundred eleven thousand, three hundred sixty".