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64449008640 = 2103354183137
BaseRepresentation
bin111100000001011101…
…011101010000000000
320011100120011212021000
4330001131131100000
52023442421234030
645335113532000
74441051351242
oct740135352000
9204316155230
1064449008640
1125372870105
12105a7a14000
1361013bc293
1431956c8092
151a2311c860
hexf0175d400

64449008640 has 704 divisors, whose sum is σ = 239186545920. Its totient is φ = 16444293120.

The previous prime is 64449008639. The next prime is 64449008647. The reversal of 64449008640 is 4680094446.

64449008640 is a `hidden beast` number, since 6 + 44 + 490 + 0 + 86 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64449008647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 470430652 + ... + 470430788.

Almost surely, 264449008640 is an apocalyptic number.

64449008640 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 64449008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119593272960).

64449008640 is an abundant number, since it is smaller than the sum of its proper divisors (174737537280).

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

64449008640 is a wasteful number, since it uses less digits than its factorization.

64449008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 64449008640 in words is "sixty-four billion, four hundred forty-nine million, eight thousand, six hundred forty".