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7669946474680 = 23571729210511823
BaseRepresentation
bin110111110011100110001…
…1011110110000010111000
31000011020110202110002210211
41233213030123312002320
52001131022244142210
624151305203320504
71421064265225330
oct157471433660270
930136422402724
107669946474680
112497895914606
12a3a5a1680134
134383715ac599
141c7327d5c0c0
15d47a610838a
hex6f9cc6f60b8

7669946474680 has 384 divisors, whose sum is σ = 21660263239680. Its totient is φ = 2386079539200.

The previous prime is 7669946474611. The next prime is 7669946474681. The reversal of 7669946474680 is 864746499667.

It is a super-2 number, since 2×76699464746802 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7669946474597 and 7669946474606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7669946474681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4207320249 + ... + 4207322071.

It is an arithmetic number, because the mean of its divisors is an integer number (56406935520).

Almost surely, 27669946474680 is an apocalyptic number.

7669946474680 is a gapful number since it is divisible by the number (70) 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 7669946474680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10830131619840).

7669946474680 is an abundant number, since it is smaller than the sum of its proper divisors (13990316765000).

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

7669946474680 is a wasteful number, since it uses less digits than its factorization.

7669946474680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 2633637888, while the sum is 76.

The spelling of 7669946474680 in words is "seven trillion, six hundred sixty-nine billion, nine hundred forty-six million, four hundred seventy-four thousand, six hundred eighty".