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9676880640 = 28325733179
BaseRepresentation
bin10010000001100100…
…10111101100000000
3220222101202110200200
421000302113230000
5124304240140030
64240121045200
7461542062000
oct110062275400
926871673620
109676880640
11411638a719
121a60926800
13bb2a8649b
1467b292000
153b9833d60
hex240c97b00

9676880640 has 864 divisors, whose sum is σ = 40814592000. Its totient is φ = 2113413120.

The previous prime is 9676880621. The next prime is 9676880651. The reversal of 9676880640 is 460886769.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122492121 + ... + 122492199.

Almost surely, 29676880640 is an apocalyptic number.

9676880640 is a gapful number since it is divisible by the number (90) 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 9676880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20407296000).

9676880640 is an abundant number, since it is smaller than the sum of its proper divisors (31137711360).

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

9676880640 is a wasteful number, since it uses less digits than its factorization.

9676880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 9676880640 is about 98371.1372303889. The cubic root of 9676880640 is about 2130.9755235258.

The spelling of 9676880640 in words is "nine billion, six hundred seventy-six million, eight hundred eighty thousand, six hundred forty".