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640720080 = 24325721113127
BaseRepresentation
bin100110001100001…
…001110011010000
31122122121221201100
4212030021303100
52303011020310
6143324504400
721610013400
oct4614116320
91578557640
10640720080
112a9740530
1215a6ab100
13a2985110
1461146800
153b3b2ec0
hex26309cd0

640720080 has 720 divisors, whose sum is σ = 2963810304. Its totient is φ = 121927680.

The previous prime is 640720037. The next prime is 640720103. The reversal of 640720080 is 80027046.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5044977 + ... + 5045103.

Almost surely, 2640720080 is an apocalyptic number.

640720080 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 640720080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481905152).

640720080 is an abundant number, since it is smaller than the sum of its proper divisors (2323090224).

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

640720080 is a wasteful number, since it uses less digits than its factorization.

640720080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 640720080 is about 25312.4491110600. The cubic root of 640720080 is about 862.0969559853.

The spelling of 640720080 in words is "six hundred forty million, seven hundred twenty thousand, eighty".