6444170853120 has 5184 divisors, whose sum is σ = 33158363212800. Its totient is φ = 1169019371520.

The previous prime is 6444170853091. The next prime is 6444170853139. The reversal of 6444170853120 is 213580714446.

6444170853120 is a `hidden beast` number, since 6 + 4 + 4 + 41 + 70 + 8 + 531 + 2 + 0 = 666.

It is a super-2 number, since 2×6444170853120² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 575 ways as a sum of consecutive naturals, for example, 72406414036 + ... + 72406414124.

It is an arithmetic number, because the mean of its divisors is an integer number (6396289200).

Almost surely, 2^{6444170853120} is an apocalyptic number.

6444170853120 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 6444170853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16579181606400).

6444170853120 is an abundant number, since it is smaller than the sum of its proper divisors (26714192359680).

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

6444170853120 is a wasteful number, since it uses less digits than its factorization.

6444170853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 6444170853120 in words is "six trillion, four hundred forty-four billion, one hundred seventy million, eight hundred fifty-three thousand, one hundred twenty".