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6685040880 = 2432573142787
BaseRepresentation
bin1100011100111010…
…11010000011110000
3122020220002021002200
412032131122003300
5102142332302010
63023203343200
7324442624050
oct61635320360
918226067080
106685040880
112920593181
121366981b00
13826c9b2bb
14475bb1560
15291d52cc0
hex18e75a0f0

6685040880 has 240 divisors, whose sum is σ = 26486114304. Its totient is φ = 1478684160.

The previous prime is 6685040837. The next prime is 6685040899. The reversal of 6685040880 is 880405866.

6685040880 is a `hidden beast` number, since 6 + 68 + 504 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134847 + ... + 177633.

Almost surely, 26685040880 is an apocalyptic number.

6685040880 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 6685040880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13243057152).

6685040880 is an abundant number, since it is smaller than the sum of its proper divisors (19801073424).

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

6685040880 is a wasteful number, since it uses less digits than its factorization.

6685040880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42844 (or 42835 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 6685040880 is about 81762.0992881176. The cubic root of 6685040880 is about 1883.7995513409.

The spelling of 6685040880 in words is "six billion, six hundred eighty-five million, forty thousand, eight hundred eighty".