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8740068480 = 273651113131
BaseRepresentation
bin10000010001111001…
…01101110010000000
3211120002222111000000
420020330231302000
5120344424142410
64003134000000
7426405233133
oct101074556200
924502874000
108740068480
1137855a48a0
12183b046000
13a93971270
145ccab221a
15362484dc0
hex208f2dc80

8740068480 has 896 divisors, whose sum is σ = 37084703040. Its totient is φ = 1940889600.

The previous prime is 8740068437. The next prime is 8740068527. The reversal of 8740068480 is 848600478.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 66718015 + ... + 66718145.

Almost surely, 28740068480 is an apocalyptic number.

8740068480 is a gapful number since it is divisible by the number (80) 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 8740068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18542351520).

8740068480 is an abundant number, since it is smaller than the sum of its proper divisors (28344634560).

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

8740068480 is a wasteful number, since it uses less digits than its factorization.

8740068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 8740068480 is about 93488.3333897872. Note that the first 4 decimals coincide. The cubic root of 8740068480 is about 2059.8627237520.

The spelling of 8740068480 in words is "eight billion, seven hundred forty million, sixty-eight thousand, four hundred eighty".