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669320064 = 2733773379
BaseRepresentation
bin100111111001010…
…000001110000000
31201122102222112000
4213321100032000
52332321220224
6150225504000
722405061310
oct4771201600
91648388460
10669320064
113138a5086
121681a2000
13a8889a9a
1464c6d440
153db620c9
hex27e50380

669320064 has 256 divisors, whose sum is σ = 2294592000. Its totient is φ = 188116992.

The previous prime is 669320027. The next prime is 669320077. The reversal of 669320064 is 460023966.

669320064 = T469 + T470 + ... + T1602.

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

It is a congruent number.

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, 1765827 + ... + 1766205.

It is an arithmetic number, because the mean of its divisors is an integer number (8963250).

Almost surely, 2669320064 is an apocalyptic number.

669320064 is a gapful number since it is divisible by the number (64) 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 669320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147296000).

669320064 is an abundant number, since it is smaller than the sum of its proper divisors (1625271936).

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

669320064 is a wasteful number, since it uses less digits than its factorization.

669320064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 669320064 is about 25871.2207674860. The cubic root of 669320064 is about 874.7379085504.

The spelling of 669320064 in words is "six hundred sixty-nine million, three hundred twenty thousand, sixty-four".