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668701440 = 28335111759
BaseRepresentation
bin100111110110111…
…001001100000000
31201121021112221000
4213312321030000
52332141421230
6150204332000
722366603611
oct4766711400
91647245830
10668701440
11313512320
12167b44000
13a8701334
1464b4bc08
153da8db60
hex27db9300

668701440 has 288 divisors, whose sum is σ = 2590156800. Its totient is φ = 162017280.

The previous prime is 668701393. The next prime is 668701487. The reversal of 668701440 is 44107866.

It is an interprime number because it is at equal distance from previous prime (668701393) and next prime (668701487).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 668701395 and 668701404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379281 + ... + 381039.

It is an arithmetic number, because the mean of its divisors is an integer number (8993600).

Almost surely, 2668701440 is an apocalyptic number.

668701440 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 668701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295078400).

668701440 is an abundant number, since it is smaller than the sum of its proper divisors (1921455360).

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

668701440 is a wasteful number, since it uses less digits than its factorization.

668701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 668701440 is about 25859.2621704487. The cubic root of 668701440 is about 874.4683311617.

The spelling of 668701440 in words is "six hundred sixty-eight million, seven hundred one thousand, four hundred forty".