6484270223520 has 288 divisors, whose sum is σ = 22454778528000. Its totient is φ = 1703738437632.

The previous prime is 6484270223507. The next prime is 6484270223531. The reversal of 6484270223520 is 253220724846.

6484270223520 is a `hidden beast` number, since 6 + 4 + 8 + 4 + 270 + 22 + 352 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6484270223520² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29405836 + ... + 29625524.

It is an arithmetic number, because the mean of its divisors is an integer number (77967981000).

Almost surely, 2^{6484270223520} is an apocalyptic number.

6484270223520 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 6484270223520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11227389264000).

6484270223520 is an abundant number, since it is smaller than the sum of its proper divisors (15970508304480).

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

6484270223520 is a wasteful number, since it uses less digits than its factorization.

6484270223520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220012 (or 220001 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 6484270223520 in words is "six trillion, four hundred eighty-four billion, two hundred seventy million, two hundred twenty-three thousand, five hundred twenty".