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67376989680 = 2435711133183109
BaseRepresentation
bin111110101111111110…
…110100010111110000
320102220121200201011020
4332233332310113300
52100442002132210
650541430415440
74603443651150
oct765776642760
9212817621136
1067376989680
1126635610650
1211084501580
136479ba9040
143392504760
151b451d7770
hexfaffb45f0

67376989680 has 1280 divisors, whose sum is σ = 295661076480. Its totient is φ = 12242534400.

The previous prime is 67376989679. The next prime is 67376989703. The reversal of 67376989680 is 8698967376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 618137466 + ... + 618137574.

It is an arithmetic number, because the mean of its divisors is an integer number (230985216).

Almost surely, 267376989680 is an apocalyptic number.

67376989680 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 67376989680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147830538240).

67376989680 is an abundant number, since it is smaller than the sum of its proper divisors (228284086800).

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

67376989680 is a wasteful number, since it uses less digits than its factorization.

67376989680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 69.

The spelling of 67376989680 in words is "sixty-seven billion, three hundred seventy-six million, nine hundred eighty-nine thousand, six hundred eighty".