6442279181520 has 640 divisors, whose sum is σ = 24781240565760. Its totient is φ = 1348141916160.

The previous prime is 6442279181519. The next prime is 6442279181549. The reversal of 6442279181520 is 251819722446.

It is a happy number.

It is a super-2 number, since 2×6442279181520² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2369354721 + ... + 2369357439.

It is an arithmetic number, because the mean of its divisors is an integer number (38720688384).

Almost surely, 2^{6442279181520} is an apocalyptic number.

6442279181520 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 6442279181520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12390620282880).

6442279181520 is an abundant number, since it is smaller than the sum of its proper divisors (18338961384240).

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

6442279181520 is a wasteful number, since it uses less digits than its factorization.

6442279181520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3603 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 6442279181520 in words is "six trillion, four hundred forty-two billion, two hundred seventy-nine million, one hundred eighty-one thousand, five hundred twenty".