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6800325840 = 243557211259
BaseRepresentation
bin1100101010101010…
…01011110011010000
3122112221000100100000
412111111023303100
5102411340411330
63042442330000
7330342546600
oct62525136320
918487010300
106800325840
11297a674500
1213994b9900
13844b34059
14487220c00
1529c026560
hex19554bcd0

6800325840 has 1080 divisors, whose sum is σ = 30795841440. Its totient is φ = 1389104640.

The previous prime is 6800325823. The next prime is 6800325863. The reversal of 6800325840 is 485230086.

It is a tau number, because it is divible by the number of its divisors (1080).

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 = 6800325795 and 6800325804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 115259731 + ... + 115259789.

It is an arithmetic number, because the mean of its divisors is an integer number (28514668).

Almost surely, 26800325840 is an apocalyptic number.

6800325840 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 6800325840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397920720).

6800325840 is an abundant number, since it is smaller than the sum of its proper divisors (23995515600).

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

6800325840 is a wasteful number, since it uses less digits than its factorization.

6800325840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6800325840 is about 82464.0881838877. The cubic root of 6800325840 is about 1894.5667344652.

The spelling of 6800325840 in words is "six billion, eight hundred million, three hundred twenty-five thousand, eight hundred forty".