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6672364608 = 2637133197127
BaseRepresentation
bin1100011011011010…
…00011010001000000
3122020000020020112010
412031231003101000
5102131111131413
63022031532520
7324230110020
oct61555032100
918200206463
106672364608
112914415318
12136268a140
13824480550
14474231a80
15290b9bdc3
hex18db43440

6672364608 has 448 divisors, whose sum is σ = 22838509568. Its totient is φ = 1672151040.

The previous prime is 6672364603. The next prime is 6672364609. The reversal of 6672364608 is 8064632766.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6672364603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52538241 + ... + 52538367.

It is an arithmetic number, because the mean of its divisors is an integer number (50978816).

Almost surely, 26672364608 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 6672364608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11419254784).

6672364608 is an abundant number, since it is smaller than the sum of its proper divisors (16166144960).

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

6672364608 is a wasteful number, since it uses less digits than its factorization.

6672364608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The square root of 6672364608 is about 81684.5432624802. The cubic root of 6672364608 is about 1882.6081018822.

The spelling of 6672364608 in words is "six billion, six hundred seventy-two million, three hundred sixty-four thousand, six hundred eight".