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6674361120 = 25345773571
BaseRepresentation
bin1100011011101001…
…01010101100100000
3122020010222200020000
412031310222230200
5102132114023440
63022142420000
7324253063530
oct61564525440
918203880200
106674361120
112915559329
121363291600
138249cc20b
144745d14c0
15290e43730
hex18dd2ab20

6674361120 has 240 divisors, whose sum is σ = 26920289088. Its totient is φ = 1525547520.

The previous prime is 6674361091. The next prime is 6674361131. The reversal of 6674361120 is 211634766.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53935 + ... + 127505.

Almost surely, 26674361120 is an apocalyptic number.

6674361120 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 6674361120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13460144544).

6674361120 is an abundant number, since it is smaller than the sum of its proper divisors (20245927968).

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

6674361120 is a wasteful number, since it uses less digits than its factorization.

6674361120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73605 (or 73588 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6674361120 is about 81696.7632161764. The cubic root of 6674361120 is about 1882.7958551531.

Adding to 6674361120 its reverse (211634766), we get a palindrome (6885995886).

The spelling of 6674361120 in words is "six billion, six hundred seventy-four million, three hundred sixty-one thousand, one hundred twenty".