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6674840640 = 26365133171
BaseRepresentation
bin1100011011101100…
…11111110001000000
3122020011220001000000
412031312133301000
5102132224400030
63022201000000
7324260131536
oct61566376100
918204801000
106674840640
112915856626
121363483000
13824b39560
144746b8156
15290eda860
hex18dd9fc40

6674840640 has 784 divisors, whose sum is σ = 26864925696. Its totient is φ = 1567641600.

The previous prime is 6674840639. The next prime is 6674840677. The reversal of 6674840640 is 460484766.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 94011805 + ... + 94011875.

Almost surely, 26674840640 is an apocalyptic number.

6674840640 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 6674840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13432462848).

6674840640 is an abundant number, since it is smaller than the sum of its proper divisors (20190085056).

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

6674840640 is a wasteful number, since it uses less digits than its factorization.

6674840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 6674840640 is about 81699.6979186582. The cubic root of 6674840640 is about 1882.8409439454.

The spelling of 6674840640 in words is "six billion, six hundred seventy-four million, eight hundred forty thousand, six hundred forty".