6406221679520 has 384 divisors, whose sum is σ = 17263196616960. Its totient is φ = 2227026493440.

The previous prime is 6406221679439. The next prime is 6406221679523. The reversal of 6406221679520 is 259761226046.

It is not an unprimeable number, because it can be changed into a prime (6406221679523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8140052567 + ... + 8140053353.

It is an arithmetic number, because the mean of its divisors is an integer number (44956241190).

Almost surely, 2^{6406221679520} 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 6406221679520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8631598308480).

6406221679520 is an abundant number, since it is smaller than the sum of its proper divisors (10856974937440).

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

6406221679520 is a wasteful number, since it uses less digits than its factorization.

6406221679520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

The spelling of 6406221679520 in words is "six trillion, four hundred six billion, two hundred twenty-one million, six hundred seventy-nine thousand, five hundred twenty".